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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Éléments de la théorie des systèmes différentiels géométriques / Philippe Maisonobe ; Luis Narváez Macarro

Public ISBD Titre : Éléments de la théorie des systèmes différentiels géométriques Titre original : cours du C.I.M.P.A., École d'été de Séville (1996) Type de document : texte imprimé Auteurs : Philippe Maisonobe ; Luis Narváez Macarro, Editeur scientifique Editeur : Paris : Société Mathématiques de France Année de publication : 2004 Collection : Séminaires et Congrès, ISSN 1285-2783 num. 08 Importance : xx - 430 p. ISBN/ISSN/EAN : 978-2-85629-151-1 Langues : Français (fre) Catégories : 13-XX Commutative rings and algebras:13NXX Differential algebra :13N10 Rings of differential operators and their modules 13-XX Commutative rings and algebras:13PXX Computational aspects of commutative algebra :13P10 Polynomial ideals, Gröbner bases 16-XX Associative rings and algebras :16SXX Rings and algebras arising under various constructions:16S32 Rings of differential operators Mots-clés : v-filtration  filtration  duality  division theorem  de rham complex  comparison theorem  characteristic cycle  canonical lattice Index. décimale : 12B Publication collective Éléments de la théorie des systèmes différentiels géométriques = cours du C.I.M.P.A., École d'été de Séville (1996) [texte imprimé] / Philippe Maisonobe ; Luis Narváez Macarro, Editeur scientifique . - Société Mathématiques de France, 2004 . - xx - 430 p.. - (Séminaires et Congrès, ISSN 1285-2783; 08) . ISBN : 978-2-85629-151-1 Langues : Français (fre) Catégories : 13-XX Commutative rings and algebras:13NXX Differential algebra :13N10 Rings of differential operators and their modules 13-XX Commutative rings and algebras:13PXX Computational aspects of commutative algebra :13P10 Polynomial ideals, Gröbner bases 16-XX Associative rings and algebras :16SXX Rings and algebras arising under various constructions:16S32 Rings of differential operators Mots-clés : v-filtration  filtration  duality  division theorem  de rham complex  comparison theorem  characteristic cycle  canonical lattice Index. décimale : 12B Publication collective

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