Cohomologies p-adiques et applications arithmétiques (II) / Berthelot, P. Ed.

Public ISBD Titre : Cohomologies p-adiques et applications arithmétiques (II) Type de document : texte imprimé Auteurs : Berthelot, P. Ed. ; Rapoport, M.Eds. ; Kato, K. ; Illusie, L. ; Fontaine, J.-M. ; Berthelot, P. ; Rapoport, M. Eds ; Fontaine, J-M Editeur : Paris : Société Mathématiques de France Année de publication : 2002 Collection : Astérisque, ISSN 03-1179 num. 279 Importance : xiv - 370 p. ISBN/ISSN/EAN : 978-2-85629-117-7 Langues : Anglais (eng) Catégories : 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G10 Abelian varieties of dimension $>1$ 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G25 Varieties over finite and local fields 11-XX Number theory:11SXX Algebraic number theory: local and $p$-adic fields:11S20 Galois theory 12-XX Field theory and polynomials:12HXX Differential and difference algebra:12H25 $p$-adic differential equations 13-XX Commutative rings and algebras:13NXX Differential algebra :13N10 Rings of differential operators and their modules 14-XX Algebraic geometry:14AXX Foundations:14A99 None of the above, but in this section 14-XX Algebraic geometry:14DXX Families, fibrations:14D05 Structure of families (Picard-Lefschetz, monodromy, etc.) 14-XX Algebraic geometry:14DXX Families, fibrations:14D06 Fibrations, degenerations 14-XX Algebraic geometry:14DXX Families, fibrations:14D10 Arithmetic ground fields (finite, local, global) 14-XX Algebraic geometry:14EXX Birational geometry:14E05 Rational and birational maps 14-XX Algebraic geometry:14EXX Birational geometry:14E20 Coverings 14-XX Algebraic geometry:14EXX Birational geometry:14E22 Ramification problems 14-XX Algebraic geometry:14FXX (Co)homology theory :14F10 Differentials and other special sheaves 14-XX Algebraic geometry:14FXX (Co)homology theory :14F20 Étale and other Grothendieck topologies and (co)homologies 14-XX Algebraic geometry:14FXX (Co)homology theory :14F30 $p$-adic cohomology, crystalline cohomology 14-XX Algebraic geometry:14FXX (Co)homology theory :14F35 Homotopy theory; fundamental groups 14-XX Algebraic geometry:14FXX (Co)homology theory :14F40 de Rham cohomology 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G20 Local ground fields 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G22 Rigid analytic geometry 16-XX Associative rings and algebras :16SXX Rings and algebras arising under various constructions:16S32 Rings of differential operators 32-XX Several complex variables and analytic spaces :32CXX Analytic spaces:32C38 Sheaves of differential operators and their modules, $D$-modules Mots-clés : logarithmic geometry  p-adic etale cohomology  p-adic coefficients  syntomic site  semi-stable reduction  etale cohomology  holonomic module  characteristic variety  frobenius  rigid cohomology  crystalline cohomology  de rham cohomology  cohomological operation  perfect complex  overconvergence  isocrystal  -module  differential operator  divided powers Index. décimale : AST Cohomologies p-adiques et applications arithmétiques (II) [texte imprimé] / Berthelot, P. Ed. ; Rapoport, M.Eds. ; Kato, K. ; Illusie, L. ; Fontaine, J.-M. ; Berthelot, P. ; Rapoport, M. Eds ; Fontaine, J-M . - Société Mathématiques de France, 2002 . -  xiv - 370 p.. - (Astérisque, ISSN 03-1179; 279) . ISBN : 978-2-85629-117-7 Langues : Anglais (eng) Catégories : 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G10 Abelian varieties of dimension $>1$ 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G25 Varieties over finite and local fields 11-XX Number theory:11SXX Algebraic number theory: local and $p$-adic fields:11S20 Galois theory 12-XX Field theory and polynomials:12HXX Differential and difference algebra:12H25 $p$-adic differential equations 13-XX Commutative rings and algebras:13NXX Differential algebra :13N10 Rings of differential operators and their modules 14-XX Algebraic geometry:14AXX Foundations:14A99 None of the above, but in this section 14-XX Algebraic geometry:14DXX Families, fibrations:14D05 Structure of families (Picard-Lefschetz, monodromy, etc.) 14-XX Algebraic geometry:14DXX Families, fibrations:14D06 Fibrations, degenerations 14-XX Algebraic geometry:14DXX Families, fibrations:14D10 Arithmetic ground fields (finite, local, global) 14-XX Algebraic geometry:14EXX Birational geometry:14E05 Rational and birational maps 14-XX Algebraic geometry:14EXX Birational geometry:14E20 Coverings 14-XX Algebraic geometry:14EXX Birational geometry:14E22 Ramification problems 14-XX Algebraic geometry:14FXX (Co)homology theory :14F10 Differentials and other special sheaves 14-XX Algebraic geometry:14FXX (Co)homology theory :14F20 Étale and other Grothendieck topologies and (co)homologies 14-XX Algebraic geometry:14FXX (Co)homology theory :14F30 $p$-adic cohomology, crystalline cohomology 14-XX Algebraic geometry:14FXX (Co)homology theory :14F35 Homotopy theory; fundamental groups 14-XX Algebraic geometry:14FXX (Co)homology theory :14F40 de Rham cohomology 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G20 Local ground fields 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G22 Rigid analytic geometry 16-XX Associative rings and algebras :16SXX Rings and algebras arising under various constructions:16S32 Rings of differential operators 32-XX Several complex variables and analytic spaces :32CXX Analytic spaces:32C38 Sheaves of differential operators and their modules, $D$-modules Mots-clés : logarithmic geometry  p-adic etale cohomology  p-adic coefficients  syntomic site  semi-stable reduction  etale cohomology  holonomic module  characteristic variety  frobenius  rigid cohomology  crystalline cohomology  de rham cohomology  cohomological operation  perfect complex  overconvergence  isocrystal  -module  differential operator  divided powers Index. décimale : AST

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Twisted L-functions and monodromy / Nicholas M. Katz

Public ISBD Titre : Twisted L-functions and monodromy Type de document : texte imprimé Auteurs : Nicholas M. Katz, Auteur Editeur : Princeton : Princeton University Press Année de publication : 2002 Collection : Annals of Mathematics Studies num. 150 Importance : viii - 249 p. Format : 25 cm ISBN/ISSN/EAN : 978-0-691-09150-1 Langues : Anglais (eng) Catégories : 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G25 Varieties over finite and local fields 14-XX Algebraic geometry:14FXX (Co)homology theory :14F20 Étale and other Grothendieck topologies and (co)homologies 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G15 Finite ground fields Mots-clés : ell-adic sheaves  Kummer sheaves  monodromy groups Index. décimale : 14C Monographie Twisted L-functions and monodromy [texte imprimé] / Nicholas M. Katz, Auteur . - Princeton University Press, 2002 . - viii - 249 p. ; 25 cm. - (Annals of Mathematics Studies; 150) . ISBN : 978-0-691-09150-1 Langues : Anglais (eng) Catégories : 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G25 Varieties over finite and local fields 14-XX Algebraic geometry:14FXX (Co)homology theory :14F20 Étale and other Grothendieck topologies and (co)homologies 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G15 Finite ground fields Mots-clés : ell-adic sheaves  Kummer sheaves  monodromy groups Index. décimale : 14C Monographie

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Variétés rationnellement connexes : aspects géométriques et arithmétiques / Bonavero, L.

Public ISBD Titre : Variétés rationnellement connexes : aspects géométriques et arithmétiques Type de document : texte imprimé Auteurs : Bonavero, L. ; Colliot-Thélène, J.-L. ; Brandan Hasset ; Olivier Wittenberg ; Jason Starr, Auteur Editeur : Paris : Société Mathématiques de France Année de publication : 2010 Collection : Panoramas et Synthèses, ISSN 1272-3835 num. 31 Importance : x - 221 p. ISBN/ISSN/EAN : 978-2-85629-339-3 Langues : Français (fre) Catégories : 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G25 Varieties over finite and local fields 12-XX Field theory and polynomials:12GXX Homological methods (field theory):12G05 Galois cohomology 14-XX Algebraic geometry:14CXX Cycles and subschemes:14C15 Chow groups and rings Mots-clés : R-equivalence, (C_i) fields, del Pezzo surfaces, rational curves, rationally connected manifolds, rationally connected varieties, semisimple algebraic groups, torsors, weak approximation, zero-cycles Index. décimale : 11C Monographie Variétés rationnellement connexes : aspects géométriques et arithmétiques [texte imprimé] / Bonavero, L. ; Colliot-Thélène, J.-L. ; Brandan Hasset ; Olivier Wittenberg ; Jason Starr, Auteur . - Société Mathématiques de France, 2010 . - x - 221 p.. - (Panoramas et Synthèses, ISSN 1272-3835; 31) . ISBN : 978-2-85629-339-3 Langues : Français (fre) Catégories : 11-XX Number theory:11GXX Arithmetic algebraic geometry (Diophantine geometry) :11G25 Varieties over finite and local fields 12-XX Field theory and polynomials:12GXX Homological methods (field theory):12G05 Galois cohomology 14-XX Algebraic geometry:14CXX Cycles and subschemes:14C15 Chow groups and rings Mots-clés : R-equivalence, (C_i) fields, del Pezzo surfaces, rational curves, rationally connected manifolds, rationally connected varieties, semisimple algebraic groups, torsors, weak approximation, zero-cycles Index. décimale : 11C Monographie

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