Titre :	Cohomologies p-adiques et applications arithmétiques (II)
Type de document :	texte imprimé
Auteurs :	P. Ed. Berthelot ; Rapoport, M.Eds. ; Kazuya Kato ; Luc Illusie ; Fontaine, J.-M. ; Berthelot ; Rapoport, M. Eds ; Fontaine, J-M
Editeur :	Paris : Société Mathématiques de France
Année de publication :	2002
Collection :	Astérisque, ISSN 0303-1179 num. 279
Importance :	xiv - 370 p.
ISBN/ISSN/EAN :	978-2-85629-117-7
Langues :	Anglais
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] / P. Ed. Berthelot ; Rapoport, M.Eds. ; Kazuya Kato ; Luc Illusie ; Fontaine, J.-M. ; Berthelot ; Rapoport, M. Eds ; Fontaine, J-M . - Paris : Société Mathématiques de France, 2002 . -  xiv - 370 p.. - (Astérisque, ISSN 0303-1179; 279) .
ISBN : 978-2-85629-117-7
Langues : Anglais

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