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%%%%%%%%%%%%%%%%%%%%%% A %%%%%%%%%%%%%%%%%%%%%%
@INCOLLECTION{Abbes-ssr,
AUTHOR = {Abbes, Ahmed},
TITLE = {R\'eduction semi-stable des courbes d'apr\`es {A}rtin, {D}eligne, {G}rothendieck, {M}umford, {S}aito, {W}inters, {$\ldots$}},
BOOKTITLE = {Courbes semi-stables et groupe fondamental en g\'eom\'etrie alg\'ebrique ({L}uminy, 1998)},
SERIES = {Progr. Math.},
VOLUME = {187},
PAGES = {59--110},
PUBLISHER = {Birkh\"auser, Basel},
YEAR = {2000},
}
@BOOK{Abbes,
AUTHOR = {Abbes, Ahmed},
TITLE = {\'{E}l\'ements de g\'eom\'etrie rigide. {V}olume {I}},
SERIES = {Progress in Mathematics},
VOLUME = {286},
PUBLISHER = {Birkh\"auser/Springer Basel AG, Basel},
YEAR = {2010},
PAGES = {xvi+477},
}
@ARTICLE{AHS,
AUTHOR = {Aberbach, Ian and Hosry, Aline and Striuli, Janet},
TITLE = {Uniform {A}rtin-{R}ees bounds for syzygies},
JOURNAL = {Adv. Math.},
VOLUME = {285},
YEAR = {2015},
PAGES = {478--496},
ISSN = {0001-8708},
URL = {https://doi.org/10.1016/j.aim.2015.07.031},
}
@ARTICLE{abramovich-vistoli,
AUTHOR = {Abramovich, Dan and Vistoli, Angelo},
TITLE = {Compactifying the space of stable maps},
SHORTJOURNAL = {J. Amer. Math. Soc.},
JOURNAL = {Journal of the American Mathematical Society},
VOLUME = {15},
YEAR = {2002},
NUMBER = {1},
PAGES = {27--75},
EPRINT = {math/9908167},
EPRINTTYPE = {arXiv},
}
@ARTICLE{acv,
AUTHOR = {Abramovich, Dan and Corti, Alessio and Vistoli, Angelo},
TITLE = {Twisted bundles and admissible covers},
NOTE = {Special issue in honor of Steven L. Kleiman},
SHORTJOURNAL = {Comm. Algebra},
JOURNAL = {Communications in Algebra},
VOLUME = {31},
YEAR = {2003},
NUMBER = {8},
PAGES = {3547--3618},
EPRINT = {math/0106211},
EPRINTTYPE = {arXiv},
}
@ARTICLE{agv,
AUTHOR = {Abramovich, Dan and Graber, Tom and Vistoli, Angelo},
TITLE = {Gromov-{W}itten theory of {D}eligne-{M}umford stacks},
SHORTJOURNAL = {Amer. J. Math.},
JOURNAL = {American Journal of Mathematics},
VOLUME = {130},
YEAR = {2008},
NUMBER = {5},
PAGES = {1337--1398},
EPRINT = {math/0603151},
EPRINTTYPE = {arXiv},
}
@ARTICLE{tame,
AUTHOR = {Abramovich, Dan and Olsson, Martin Christian and Vistoli, Angelo},
TITLE = {Tame stacks in positive characteristic},
SHORTJOURNAL = {Ann. Inst. Fourier},
JOURNAL = {Annales de l'Institut Fourier},
VOLUME = {58},
YEAR = {2008},
NUMBER = {4},
PAGES = {1057--1091},
EPRINT = {math/0703310},
EPRINTTYPE = {arXiv},
}
@ARTICLE{Achinger,
AUTHOR = {Achinger, Piotr},
TITLE = {Wild ramification and {$K(\pi, 1)$} spaces},
JOURNAL = {Invent. Math.},
VOLUME = {210},
YEAR = {2017},
NUMBER = {2},
PAGES = {453--499},
ISSN = {0020-9910},
URL = {https://doi.org/10.1007/s00222-017-0733-5},
}
@INCOLLECTION{Alexeev96,
AUTHOR = {Alexeev, Valery},
TITLE = {Moduli spaces $M_{g,n}(W)$ for surfaces},
BOOKTITLE = {Higher dimensional complex varieties ({T}rento, 1994)},
PAGES = {1--22},
PUBLISHER = {de {G}ruyter},
YEAR = {1996},
EPRINT = {alg-geom/9410003},
EPRINTTYPE = {arXiv},
}
@ARTICLE{alexeev-knutson,
AUTHOR = {Alexeev, Valery and Knutson, Allen},
TITLE = {Complete moduli spaces of branchvarieties},
SHORTJOURNAL = {J. reine angew. Math},
JOURNAL = {Journal f\"ur die reine und angewandte Mathematik},
VOLUME = {639},
YEAR = {2010},
EPRINT = {math/0602626},
EPRINTTYPE = {arXiv},
}
@ARTICLE{AKFano,
AUTHOR = {Altman, Allen and Kleiman, Steven},
TITLE = {Foundations of the theory of {F}ano schemes},
SHORTJOURNAL = {Compositio Math.},
JOURNAL = {Compositio Mathematica},
YEAR = {1977},
VOLUME = {34},
NUMBER = {1},
PAGES = {3--47},
}
@MISC{alper_good,
AUTHOR = {Alper, Jarod},
TITLE = {Good moduli spaces for {A}rtin stacks},
YEAR = {2008},
EPRINT = {0804.2242},
EPRINTTYPE = {arXiv},
}
@ARTICLE{Alper-adequate,
AUTHOR = {Alper, Jarod},
TITLE = {Adequate moduli spaces and geometrically reductive group schemes},
JOURNAL = {Algebr. Geom.},
VOLUME = {1},
YEAR = {2014},
NUMBER = {4},
PAGES = {489--531},
URL = {https://dx.doi.org/10.14231/AG-2014-022},
}
@ARTICLE{alper_quotient,
AUTHOR = {Alper, Jarod},
TITLE = {On the local quotient structure of {A}rtin stacks},
SHORTJOURNAL = {J. Pure Appl. Algebra},
JOURNAL = {Journal of Pure and Applied Algebra},
YEAR = {2010},
VOLUME = {214},
NUMBER = {9},
PAGES = {1576--1591},
EPRINT = {0904.2050},
EPRINTTYPE = {arXiv},
}
@BOOK{Andre,
AUTHOR = {Andr{\'e}, Michel},
TITLE = {M\'ethode simpliciale en alg\`ebre homologique et alg\`ebre commutative},
SERIES = {Lecture Notes in Mathematics, Vol. 32},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1967},
PAGES = {iii+122},
}
@BOOK{Andre-Homologie,
AUTHOR = {Andr{\'e}, Michel},
TITLE = {Homologie des alg\`ebres commutatives},
NOTE = {Die Grundlehren der mathematischen Wissenschaften, Band 206},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1974},
PAGES = {xv+341},
}
@BOOK{Andre-motifs,
AUTHOR = {Andr\'{e}, Yves},
TITLE = {Une introduction aux motifs (motifs purs, motifs mixtes, p\'{e}riodes)},
SERIES = {Panoramas et Synth\`eses [Panoramas and Syntheses]},
VOLUME = {17},
PUBLISHER = {Soci\'{e}t\'{e} Math\'{e}matique de France, Paris},
YEAR = {2004},
PAGES = {xii+261},
ISBN = {2-85629-164-3},
}
@ARTICLE{AT,
AUTHOR = {Anel, Mathieu and To\"{e}n, Bertrand},
TITLE = {D\'{e}nombrabilit\'{e} des classes d'\'{e}quivalences d\'{e}riv\'{e}es de vari\'{e}t\'{e}s alg\'{e}briques},
JOURNAL = {J. Algebraic Geom.},
VOLUME = {18},
YEAR = {2009},
NUMBER = {2},
PAGES = {257--277},
ISSN = {1056-3911},
URL = {https://doi.org/10.1090/S1056-3911-08-00487-6},
}
@ARTICLE{AokiHomStacks,
AUTHOR = {Aoki, Masao},
TITLE = {Hom stacks},
JOURNAL = {Manuscripta Math.},
VOLUME = {119},
YEAR = {2006},
NUMBER = {1},
PAGES = {37--56},
URL = {https://dx.doi.org/10.1007/s00229-005-0602-1},
}
@ARTICLE{AokiHomStacksErr,
AUTHOR = {Aoki, Masao},
TITLE = {Erratum: ``{H}om stacks'' [{M}anuscripta {M}ath. 119 (2006), no. 1, 37--56; MR2194377]},
JOURNAL = {Manuscripta Math.},
VOLUME = {121},
YEAR = {2006},
NUMBER = {1},
PAGES = {135},
URL = {https://dx.doi.org/10.1007/s00229-006-0029-3},
}
@ARTICLE{Arabia,
AUTHOR = {Arabia, Alberto},
TITLE = {Rel\`evements des alg\`ebres lisses et de leurs morphismes},
SHORTJOURNAL = {Comment. Math. Helv.},
JOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {76},
YEAR = {2001},
NUMBER = {4},
PAGES = {607--639},
}
@BOOK{ACGH,
AUTHOR = {Arbarello, Enrico and Cornalba, Maurizio and Griffiths, Philip Augustus and Harris, Joseph Daniel},
TITLE = {Geometry of Algebraic Curves: Volume {I}},
PUBLISHER = {Springer-Verlag},
YEAR = {1985},
SERIES = {Grundlehren der mathematischen {W}issenschaften},
NUMBER = {267},
}
% AUTHOR for Griffiths only the second initial is given, give full name nevertheless?, likewise for Harris only his *first* initial is given, which is inconsistent with the rest
@BOOK{ANT,
AUTHOR = {Artin, Emil and Nesbitt, Cecil James and Thrall, Robert McDowell},
TITLE = {Rings with {M}inimum {C}ondition},
SERIES = {University of Michigan Publications in Mathematics},
PUBLISHER = {University of Michigan Press},
YEAR = {1944},
NUMBER = {1},
PAGES = {x+123},
}
@ARTICLE{Etale-coverings,
AUTHOR = {Artin, Michael},
TITLE = {Etale coverings of schemes over Hensel rings},
SHORTJOURNAL = {Amer. J. Math.},
JOURNAL = {American Journal of Mathematics},
VOLUME = {88},
NUMBER = {4},
YEAR = {1966},
PAGES = {915--934},
}
@BOOK{ArtinTopologies,
AUTHOR = {Artin, Michael},
TITLE = {Grothendieck topologies: notes on a seminar},
PAGES = {1--134},
PUBLISHER = {Harvard University, Dept. of Mathematics},
YEAR = {1962},
}
% TITLE use this title? it seems the most popular one
% PAGES check whether there are any frontmatter pages
@INCOLLECTION{ArtinI,
AUTHOR = {Artin, Michael},
TITLE = {Algebraization of formal moduli: I},
BOOKTITLE = {Global Analysis (Papers in Honor of K. Kodaira)},
PAGES = {21--71},
PUBLISHER = {Univ. Tokyo Press},
ADDRESS = {Tokyo},
YEAR = {1969},
}
@ARTICLE{ArtinII,
AUTHOR = {Artin, Michael},
TITLE = {Algebraization of formal moduli: {II} -- Existence of modifications},
JOURNAL = {Annals of Mathematics},
VOLUME = {91},
PAGES = {88--135},
YEAR = {1970}
}
@ARTICLE{ArtinVersal,
AUTHOR = {Artin, Michael},
TITLE = {Versal deformations and algebraic stacks},
JOURNAL = {Inventiones Mathematics},
YEAR = {1974},
VOLUME = {27},
PAGES = {165-189},
}
@BOOK{Artin-Theorem-Representability,
AUTHOR = {Artin, Michael},
TITLE = {Th\'eor\`emes de repr\'esentabilit\'e pour les espaces alg\'ebriques},
NOTE = {En collaboration avec Alexandru Lascu et Jean-Fran{\c{c}}ois Boutot, S{\'e}minaire de Math{\'e}matiques Sup{\'e}rieures, No. 44 ({\'E}t{\'e}, 1970)},
PUBLISHER = {Les Presses de l'Universit\'e de Montr\'eal, Montreal, Que.},
YEAR = {1973},
PAGES = {282},
}
@INCOLLECTION{Artin-Construction-Techniques,
AUTHOR = {Artin, Michael},
TITLE = {Construction techniques for algebraic spaces},
BOOKTITLE = {Actes du {C}ongr\`es {I}nternational des {M}ath\'ematiciens ({N}ice, 1970), {T}ome 1},
PAGES = {419--423},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1971},
}
@BOOK{Artin-Algebraic-Spaces,
AUTHOR = {Artin, Michael},
TITLE = {Algebraic spaces},
NOTE = {A James K. Whittemore Lecture in Mathematics given at Yale University, 1969, Yale Mathematical Monographs, 3},
PUBLISHER = {Yale University Press},
ADDRESS = {New Haven, Conn.},
YEAR = {1971},
PAGES = {vii+39},
}
@ARTICLE{Artin-Analytic-Approximation,
AUTHOR = {Artin, Michael},
TITLE = {On the solutions of analytic equations},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {5},
YEAR = {1968},
PAGES = {277--291},
}
@INCOLLECTION{Artin-Implicit-Function,
AUTHOR = {Artin, Michael},
TITLE = {The implicit function theorem in algebraic geometry},
BOOKTITLE = {Algebraic {G}eometry ({I}nternat. {C}olloq., {T}ata {I}nst. {F}und. {R}es., {B}ombay, 1968)},
PAGES = {13--34},
PUBLISHER = {Oxford Univ. Press},
ADDRESS = {London},
YEAR = {1969},
}
@ARTICLE{Artin-Algebraic-Approximation,
AUTHOR = {Artin, Michael},
TITLE = {Algebraic approximation of structures over complete local rings},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
NUMBER = {36},
YEAR = {1969},
PAGES = {23--58},
}
@INCOLLECTION{Artin-power-series,
AUTHOR = {Artin, Michael},
TITLE = {Algebraic structure of power series rings},
BOOKTITLE = {Algebraists' homage: papers in ring theory and related topics ({N}ew {H}aven, {C}onn., 1981)},
SERIES = {Contemp. Math.},
VOLUME = {13},
PAGES = {223--227},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1982},
}
@INCOLLECTION{Artin-Denef,
AUTHOR = {Artin, Michael and Denef, Jan},
TITLE = {Smoothing of a ring homomorphism along a section},
BOOKTITLE = {Arithmetic and geometry, {V}ol. {II}},
SERIES = {Progr. Math.},
VOLUME = {36},
PAGES = {5--31},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Mass.},
YEAR = {1983},
}
@BOOK{ArtinMazur,
AUTHOR = {Artin, Michael and Mazur, Barry},
TITLE = {Etale homotopy},
SERIES = {Lecture Notes in Mathematics, No. 100},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1969},
PAGES = {iii+169},
}
@INCOLLECTION{Artin-Lipman,
AUTHOR = {Artin, Michael},
TITLE = {Lipman's proof of resolution of singularities for surfaces},
BOOKTITLE = {Arithmetic geometry ({S}torrs, {C}onn., 1984)},
PAGES = {267--287},
PUBLISHER = {Springer, New York},
YEAR = {1986},
}
@ARTICLE{Artin-Winters,
AUTHOR = {Artin, Michael and Winters, Gayn},
TITLE = {Degenerate fibres and stable reduction of curves},
JOURNAL = {Topology},
VOLUME = {10},
YEAR = {1971},
PAGES = {373--383},
}
@BOOK{SGA3,
AUTHOR = {Artin, Michael and Bertin, Jean-Etienne and Demazure, Michel and Grothendieck, Alexander and Gabriel, Pierre and Raynaud, Michel and Serre, Jean-Pierre},
TITLE = {Sch\'emas en groupes},
SERIES = {S\'eminaire de G\'eom\'etrie Alg\'ebrique de l'Institut des Hautes \'Etudes Scientifiques},
PUBLISHER = {Institut des Hautes \'Etudes Scientifiques},
ADDRESS = {Paris},
YEAR = {1963/1966},
}
% decide whether we want to cite the LNM or the original mimeographed notes
% there should be an EDITOR field?
@BOOK{SGA4,
AUTHOR = {Artin, Michael and Grothendieck, Alexander and Verdier, Jean-Louis},
TITLE = {Theorie de Topos et Cohomologie Etale des Schemas {I}, {II}, {III}},
PUBLISHER = {Springer},
YEAR = {1971},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {269, 270, 305},
}
@ARTICLE{Auslander-Purity,
AUTHOR = {Auslander, Maurice},
TITLE = {On the purity of the branch locus},
JOURNAL = {Amer. J. Math.},
VOLUME = {84},
YEAR = {1962},
PAGES = {116--125},
ISSN = {0002-9327},
URL = {https://dx.doi.org/10.2307/2372807},
}
@ARTICLE{Auslander,
AUTHOR = {Auslander, Maurice},
TITLE = {On the dimension of modules and algebras. {III}. {G}lobal dimension},
JOURNAL = {Nagoya Math. J.},
FJOURNAL = {Nagoya Mathematical Journal},
VOLUME = {9},
YEAR = {1955},
PAGES = {67--77},
}
@ARTICLE{Auslander-Buchsbaum,
AUTHOR = {Auslander, Maurice and Buchsbaum, David A.},
TITLE = {Homological dimension in local rings},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {85},
YEAR = {1957},
PAGES = {390--405},
}
@ARTICLE{Avramov,
AUTHOR = {Avramov, Luchezar L.},
TITLE = {Flat morphisms of complete intersections},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {225},
YEAR = {1975},
NUMBER = {1},
PAGES = {11--14},
}
% AUTHOR field: I couldn't find his second name
@ARTICLE{AH,
AUTHOR = "Avramov, Luchezar and Halperin, Stephen",
TITLE = "Through the looking glass: a dictionary between rational homotopy theory and local algebra",
SERIES = "Lecture Notes in Mathematics",
VOLUME = "1183",
PUBLISHER = "Springer-Verlag, Berlin",
YEAR = "1986",
PAGES = "1--27"
}
%%%%%%%%%%%%%%%%%%%%%% B %%%%%%%%%%%%%%%%%%%%%%
@ARTICLE{Baer,
AUTHOR = {Baer, Reinhold},
TITLE = {Abelian groups that are direct summands of every containing abelian group},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {46},
YEAR = {1940},
PAGES = {800--806},
ISSN = {0002-9904},
URL = {https://dx.doi.org/10.1090/S0002-9904-1940-07306-9},
}
@BOOK{Ballard,
AUTHOR = {Ballard, Matthew Robert},
TITLE = {Derived categories of sheaves of quasi-projective schemes},
NOTE = {Thesis (Ph.D.)--University of Washington},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2008},
PAGES = {83},
ISBN = {978-0549-81726-0},
URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3328371},
}
@ARTICLE{Baranovsky,
AUTHOR = {Baranovsky, Vladimir},
TITLE = {Algebraization of bundles on non-proper schemes},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {362},
YEAR = {2010},
NUMBER = {1},
PAGES = {427--439},
ISSN = {0002-9947},
URL = {https://doi.org/10.1090/S0002-9947-09-04948-4},
}
@INPROCEEDINGS{Barlet,
AUTHOR = {Barlet, Daniel},
TITLE = {Espace analytique r\'eduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie},
BOOKTITLE = {S\'eminaire Norguet},
PUBLISHER = {Springer-Verlag},
YEAR = {1975},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {482},
PAGES = {1--158},
}
% I changed the TITLE field to what seems to be the correct title
% this is not an inproceedings but it's published as a chapter in a book, fix this
@ARTICLE{BVdV,
AUTHOR = {Barth, Wolf and {Van de Ven}, Antonius},
TITLE = {{F}ano-varieties of lines on hypersurfaces},
JOURNAL = {Arch. Math.},
VOLUME = {31},
YEAR = {1978},
PAGES = {96-104},
}
@ARTICLE{Bass,
AUTHOR = {Bass, Hyman},
TITLE = {Big projective modules are free},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {7},
YEAR = {1963},
PAGES = {24--31},
}
@ARTICLE{BD,
AUTHOR = {Beauville, Arnaud and Donagi, Ron},
TITLE = {La vari\'et\'e des droites d'une hypersurface cubique de dimension 4},
JOURNAL = {C.R. Acad. Sc. Paris, S\'erie I},
YEAR = {1985},
VOLUME = {301},
PAGES = {703--706},
}
@ARTICLE{Beauville-Laszlo,
AUTHOR = {Beauville, Arnaud and Laszlo, Yves},
TITLE = {Un lemme de descente},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
VOLUME = {320},
YEAR = {1995},
NUMBER = {3},
PAGES = {335--340},
}
@ARTICLE{Beddani,
AUTHOR = {Beddani, Charef},
TITLE = {Note on the completion of a local domain with geometrically normal formal fibers},
JOURNAL = {C. R. Math. Acad. Sci. Paris},
VOLUME = {351},
YEAR = {2013},
NUMBER = {5-6},
PAGES = {173--175},
URL = {https://dx.doi.org/10.1016/j.crma.2013.03.004},
}
@UNPUBLISHED{Beheshti,
AUTHOR = {Beheshti, Roya},
TITLE = {Lines on {F}ano hypersurfaces},
YEAR = {2003},
NOTE = {MIT PhD thesis},
}
@ARTICLE{noohi,
AUTHOR = {Noohi, Behrang},
TITLE = {Foundations of Topological Stacks {I}},
JOURNAL = {math.AG/0503247v1},
YEAR = {2005}
}
@ARTICLE{B,
AUTHOR = {Behrend, Kai},
TITLE = {Gromov-{W}itten invariants in algebraic geometry},
JOURNAL = {Inventiones Mathematica},
YEAR = {1997},
VOLUME = {127},
PAGES = {601--617},
EPRINT = {alg-geom/9601011},
}
% AUTHOR now has a second initial, not for his other papers, what to choose?
@ARTICLE{behrend_derived,
AUTHOR = {Behrend, Kai A.},
TITLE = {Derived {$l$}-adic categories for algebraic stacks},
JOURNAL = {Mem. Amer. Math. Soc.},
VOLUME = {163},
YEAR = {2003},
NUMBER = {774},
PAGES = {viii+93},
}
@INCOLLECTION{behrend_cohomology,
AUTHOR = {Behrend, Kai},
TITLE = {Cohomology of stacks},
BOOKTITLE = {Intersection theory and moduli},
SERIES = {ICTP Lect. Notes, XIX},
PAGES = {249--294},
PUBLISHER = {Abdus Salam Int. Cent. Theoret. Phys., Trieste},
YEAR = {2004},
}
@ARTICLE{behrend-noohi,
AUTHOR = {Behrend, Kai and Noohi, Behrang},
TITLE = {Uniformization of {D}eligne-{M}umford curves},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {599},
YEAR = {2006},
PAGES = {111--153},
ISSN = {0075-4102},
CODEN = {JRMAA8},
}
@ARTICLE{behrend-fantechi,
AUTHOR = {Behrend, Kai and Fantechi, Barbara},
TITLE = {The intrinsic normal cone},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {128},
YEAR = {1997},
NUMBER = {1},
PAGES = {45--88},
}
@ARTICLE{BM,
AUTHOR = {Behrend, Kai and Manin, Yuri},
TITLE = {Stacks of stable maps and {G}romov-{W}itten invariants},
JOURNAL = {Duke Math Journal},
YEAR = {1996},
VOLUME = {85},
PAGES = {1--60},
EPRINT = {alg-geom/9506023},
}
@UNPUBLISHED{stacks_book,
AUTHOR = {Behrend, Kai and Conrad, Brian and Edidin, Dan and Fantechi, Barbara and Fulton, William and G{\"o}ttsche, Lothar and Kresch, Andrew},
TITLE = {Algebraic stacks},
URL = {https://www.math.uzh.ch/index.php?pr_vo_det&key1=1287&key2=580&no_cache=1},
YEAR = {2007},
}
@INCOLLECTION{BBD,
AUTHOR = {Beilinson, Alexander A. and Bernstein, Joseph and Deligne, Pierre},
TITLE = {Faisceaux pervers},
BOOKTITLE = {Analysis and topology on singular spaces, {I} ({L}uminy, 1981)},
SERIES = {Ast\'erisque},
VOLUME = {100},
PAGES = {5--171},
PUBLISHER = {Soc. Math. France},
ADDRESS = {Paris},
YEAR = {1982},
}
@UNPUBLISHED{BVGD,
AUTHOR = {Beilinson, Alexander and Drinfeld, Vladimir},
TITLE = {Quantization of Hitchin's integrable system and Hecke eigensheaves},
NOTE = {preprint},
PAGES = {384},
URL = {https://www.math.uchicago.edu/~mitya/langlands/hitchin/BD-hitchin.pdf},
}
@ARTICLE{Beilinson,
AUTHOR = {Beilinson, A. A.},
TITLE = {Coherent sheaves on {${\bf P}^{n}$}\ and problems in linear algebra},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
VOLUME = {12},
YEAR = {1978},
NUMBER = {3},
PAGES = {68--69},
ISSN = {0374-1990},
}
@ARTICLE{Beilinson-derived,
AUTHOR = {Beilinson, A. A.},
TITLE = {The derived category of coherent sheaves on {${\bf P}^n$}},
NOTE = {Selected translations},
JOURNAL = {Selecta Math. Soviet.},
VOLUME = {3},
YEAR = {1983/84},
NUMBER = {3},
PAGES = {233--237},
ISSN = {0272-9903},
}
@ARTICLE{Bennett,
AUTHOR = {Bennett, Bruce},
TITLE = {On the structure of non-excellent curve singularities in characteristic {$p$}},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
NUMBER = {42},
YEAR = {1973},
PAGES = {129--170},
}
@BOOK{Berkovich,
AUTHOR = {Berkovich, Vladimir G.},
TITLE = {Spectral theory and analytic geometry over non-{A}rchimedean fields},
SERIES = {Mathematical Surveys and Monographs},
VOLUME = {33},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {1990},
PAGES = {x+169},
}
@BOOK{Berthelot,
AUTHOR = {Berthelot, Pierre},
TITLE = {Cohomologie cristalline des sch\'emas de caract\'eristique {$p>0$}},
SERIES = {Lecture Notes in Mathematics, Vol. 407},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1974},
PAGES = {604},
}
@ARTICLE{BO,
AUTHOR = {Berthelot, Pierre and Ogus, Arthur},
TITLE = {{$F$}-isocrystals and de {R}ham cohomology. {I}},
JOURNAL = {Invent. Math.},
VOLUME = {72},
YEAR = {1983},
NUMBER = {2},
PAGES = {159--199},
}
@BOOK{Berthelot-Ogus,
AUTHOR = {Berthelot, Pierre and Ogus, Arthur},
TITLE = {Notes on crystalline cohomology},
PUBLISHER = {Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo},
YEAR = {1978},
PAGES = {vi+243},
ISBN = {0-691-08218-9},
}
@BOOK{SGA6,
AUTHOR = {Berthelot, Pierre and Grothendieck, Alexander and Illusie, Luc},
TITLE = {Th{\'e}orie des {I}ntersections et {T}h{\'e}or{\`e}me de {R}iemann-{R}och},
PUBLISHER = {Springer-Verlag},
YEAR = {1971},
SERIES = {Lecture notes in mathematics},
VOLUME = {225},
}
@MISC{Bhatt,
AUTHOR = {Bhatt, Bhargav and de Jong, Aise Johan},
TITLE = {Crystalline cohomology and de Rham cohomology},
EPRINT = {1110.5001},
EPRINTTYPE = {arXiv},
YEAR = {2011}
}
@ARTICLE{Bhatt-local,
AUTHOR = {Bhatt, Bhargav and de Jong, Aise Johan},
TITLE = {Lefschetz for local {P}icard groups},
JOURNAL = {Ann. Sci. \'Ec. Norm. Sup\'er. (4)},
VOLUME = {47},
YEAR = {2014},
NUMBER = {4},
PAGES = {833--849},
}
@ARTICLE{Bhatt-Algebraize,
AUTHOR = {Bhatt, Bhargav},
TITLE = {Algebraization and {T}annaka duality},
JOURNAL = {Camb. J. Math.},
VOLUME = {4},
YEAR = {2016},
NUMBER = {4},
PAGES = {403--461},
ISSN = {2168-0930},
URL = {https://dx.doi.org/10.4310/CJM.2016.v4.n4.a1},
}
AUTHOR = {Bhatt, Bhargav},
TITLE = {Algebraization and Tannaka duality},
PAGES = {35},
EPRINT = {1404.7483},
EPRINTTYPE = {arXiv},
YEAR = {2014},
}
@MISC{BhattSmallCMMod,
AUTHOR = {Bhatt, Bhargav},
TITLE = {On the non-existence of small {C}ohen-{M}acaulay algebras},
YEAR = {2012},
EPRINT = {1207.5413},
EPRINTTYPE = {arXiv},
}
@UNPUBLISHED{BS,
AUTHOR = {Bhatt, Bhargav and Scholze, Peter},
TITLE = {The pro-\'etale topology for schemes},
YEAR = {2013},
PAGES = {1 -- 38},
NOTE = {preprint},
}
@ARTICLE{Witt-Grass,
AUTHOR = {Bhatt, Bhargav and Scholze, Peter},
TITLE = {Projectivity of the {W}itt vector affine {G}rassmannian},
JOURNAL = {Invent. Math.},
VOLUME = {209},
YEAR = {2017},
NUMBER = {2},
PAGES = {329--423},
URL = {https://doi.org/10.1007/s00222-016-0710-4},
}
@ARTICLE{BMS,
AUTHOR = {Bhatt, Bhargav and Morrow, Matthew and Scholze, Peter},
TITLE = {Integral {$p$}-adic {H}odge theory},
JOURNAL = {Publ. Math. Inst. Hautes \'{E}tudes Sci.},
VOLUME = {128},
YEAR = {2018},
PAGES = {219--397},
URL = {https://doi.org/10.1007/s10240-019-00102-z},
}
@ARTICLE{Birman,
AUTHOR = {Birman, Joan},
TITLE = {On braid groups},
JOURNAL = {Comm. Pure Appl. Math.},
VOLUME = {22},
YEAR = {1968},
PAGES = {41--72},
}
@ARTICLE{Bkouche,
AUTHOR = {Bkouche, Rudolphe},
TITLE = {Puret\'e, mollesse et paracompacit\'e},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
VOLUME = {270},
YEAR = {1970},
}
@ARTICLE{Bokstedt-Neeman,
AUTHOR = {B{\"o}kstedt, Marcel and Neeman, Amnon},
TITLE = {Homotopy limits in triangulated categories},
JOURNAL = {Compositio Math.},
VOLUME = {86},
YEAR = {1993},
NUMBER = {2},
PAGES = {209--234},
}
@ARTICLE{Bondal-Orlov,
AUTHOR = {Bondal, Alexei and Orlov, Dmitri},
TITLE = {Reconstruction of a variety from the derived category and groups of autoequivalences},
JOURNAL = {Compositio Math.},
VOLUME = {125},
YEAR = {2001},
NUMBER = {3},
PAGES = {327--344},
ISSN = {0010-437X},
URL = {https://doi.org/10.1023/A:1002470302976},
}
@ARTICLE{Bondal-Orlov-ICM,
AUTHOR = {Bondal, A. and Orlov, D.},
TITLE = {Derived categories of coherent sheaves},
BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol. {II} ({B}eijing, 2002)},
PAGES = {47--56},
PUBLISHER = {Higher Ed. Press, Beijing},
YEAR = {2002},
}
@ARTICLE{Bondal-Kapranov,
AUTHOR = {Bondal, Alexei. and Kapranov, Mikhail},
TITLE = {Representable functors, Serre functors, and reconstructions},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
VOLUME = {53},
YEAR = {1989},
NUMBER = {6},
PAGES = {1183--1205, 1337},
}
@ARTICLE{BvdB,
AUTHOR = {Bondal, Alexei and {Van den Bergh}, Michel},
TITLE = {Generators and representability of functors in commutative and noncommutative geometry},
JOURNAL = {Mosc. Math. J.},
VOLUME = {3},
YEAR = {2003},
NUMBER = {1},
PAGES = {1--36},
}
@BOOK{Borel,
AUTHOR = {Borel, Armand},
TITLE = {Linear algebraic groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {126},
EDITION = {Second},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1991},
PAGES = {xii+288},
URL = {https://dx.doi.org/10.1007/978-1-4612-0941-6},
}
@ARTICLE{bcs,
AUTHOR = {Borisov, Lev A. and Chen, Linda and Smith, Gregory George},
TITLE = {The orbifold {C}how ring of toric {D}eligne-{M}umford stacks},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {18},
YEAR = {2005},
NUMBER = {1},
PAGES = {193--215},
}
@BOOK{Bourbaki-CA,
AUTHOR = {Bourbaki, Nicolas},
TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre commutative},
PUBLISHER = {Hermann},
ADDRESS = {Paris},
YEAR = {1961},
}
@BOOK{Bourbaki,
AUTHOR = {Bourbaki, Nicolas},
TITLE = {\'{E}l\'ements de math\'ematique. {T}opologie g\'en\'erale. {C}hapitres 1 \`a 4},
PUBLISHER = {Hermann},
ADDRESS = {Paris},
YEAR = {1971},
PAGES = {xv+357},
}
@ARTICLE{BL-I,
AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner},
TITLE = {Formal and rigid geometry. {I}. {R}igid spaces},
JOURNAL = {Math. Ann.},
VOLUME = {295},
YEAR = {1993},
NUMBER = {2},
PAGES = {291--317},
ISSN = {0025-5831},
URL = {https://doi.org/10.1007/BF01444889},
}
@ARTICLE{BL-II,
AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner},
TITLE = {Formal and rigid geometry. {II}. {F}lattening techniques},
JOURNAL = {Math. Ann.},
VOLUME = {296},
YEAR = {1993},
NUMBER = {3},
PAGES = {403--429},
ISSN = {0025-5831},
URL = {https://doi.org/10.1007/BF01445112},
}
@ARTICLE{BLR-III,
AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner and Raynaud, Michel},
TITLE = {Formal and rigid geometry. {III}. {T}he relative maximum principle},
JOURNAL = {Math. Ann.},
VOLUME = {302},
YEAR = {1995},
NUMBER = {1},
PAGES = {1--29},
ISSN = {0025-5831},
URL = {https://doi.org/10.1007/BF01444485},
}
@ARTICLE{BLR-IV,
AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner and Raynaud, Michel},
TITLE = {Formal and rigid geometry. {IV}. {T}he reduced fibre theorem},
JOURNAL = {Invent. Math.},