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Non-vanishing modulo p of Hecke L-values
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Haruzo Hida
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Chapters in this book
-
Geometric Aspects of Dwork Theory. Volume I
- Frontmatter i
- Table of Contents of Volume I vii
- The Mathematical Publications of Bernard Dwork xi
- Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action 1
- Exponential sums and free hyperplane arrangements 43
- Sur la conjecture des p-courbures de Grothendieck–Katz et un problème de Dwork 55
- Hilbert modular varieties of low dimension 113
- On Dwork cohomology for singular hypersurfaces 177
- On Dwork cohomology and algebraic D-modules 245
- An introduction to the theory of p-adic representations 255
- Smooth p-adic analytic spaces are locally contractible. II 293
- Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems 371
- Thirty years later 419
- Approximation of eigenforms of infinite slope by eigenforms of finite slope 437
- Crystalline cohomology of singular varieties 451
- Stacks of twisted modules and integral transforms 463
- On some rational generating series occuring in arithmetic geometry 509
- Compactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour Γ1(c, n) 527
-
Geometric Aspects of Dwork Theory. Volume II
- Frontmatter i
- Table of Contents of Volume II v
- Variétés et formes modulaires de Hilbert arithmétiques pour Γ1(c, n) 555
- Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems) 615
- An introduction to the Riemann–Hilbert correspondence for unit F-crystals 677
- Introduction to L-functions of F-isocrystals 701
- Notes on some t-structures 711
- Non-vanishing modulo p of Hecke L-values 735
- On semistable reduction and the calculation of nearby cycles 785
- Inequalities related to Lefschetz pencils and integrals of Chern classes 805
- Full faithfulness for overconvergent F-isocrystals 819
- Frobenius action, F-isocrystals and slope filtration 837
- Conjecture on Abbes–Saito filtration and Christol–Mebkhout filtration 845
- Transformation de Fourier des D-modules arithmétiques I 857
- Boyarsky principle for D-modules and Loeser’s conjecture 909
- Cohomological descent in rigid cohomology 931
- Monodromie locale et fonctions Zêta des log schémas 983
- Trace et dualité relative pour les D-modules arithmétiques 1039
- Geometric moment zeta functions 1113
Chapters in this book
-
Geometric Aspects of Dwork Theory. Volume I
- Frontmatter i
- Table of Contents of Volume I vii
- The Mathematical Publications of Bernard Dwork xi
- Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action 1
- Exponential sums and free hyperplane arrangements 43
- Sur la conjecture des p-courbures de Grothendieck–Katz et un problème de Dwork 55
- Hilbert modular varieties of low dimension 113
- On Dwork cohomology for singular hypersurfaces 177
- On Dwork cohomology and algebraic D-modules 245
- An introduction to the theory of p-adic representations 255
- Smooth p-adic analytic spaces are locally contractible. II 293
- Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems 371
- Thirty years later 419
- Approximation of eigenforms of infinite slope by eigenforms of finite slope 437
- Crystalline cohomology of singular varieties 451
- Stacks of twisted modules and integral transforms 463
- On some rational generating series occuring in arithmetic geometry 509
- Compactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour Γ1(c, n) 527
-
Geometric Aspects of Dwork Theory. Volume II
- Frontmatter i
- Table of Contents of Volume II v
- Variétés et formes modulaires de Hilbert arithmétiques pour Γ1(c, n) 555
- Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems) 615
- An introduction to the Riemann–Hilbert correspondence for unit F-crystals 677
- Introduction to L-functions of F-isocrystals 701
- Notes on some t-structures 711
- Non-vanishing modulo p of Hecke L-values 735
- On semistable reduction and the calculation of nearby cycles 785
- Inequalities related to Lefschetz pencils and integrals of Chern classes 805
- Full faithfulness for overconvergent F-isocrystals 819
- Frobenius action, F-isocrystals and slope filtration 837
- Conjecture on Abbes–Saito filtration and Christol–Mebkhout filtration 845
- Transformation de Fourier des D-modules arithmétiques I 857
- Boyarsky principle for D-modules and Loeser’s conjecture 909
- Cohomological descent in rigid cohomology 931
- Monodromie locale et fonctions Zêta des log schémas 983
- Trace et dualité relative pour les D-modules arithmétiques 1039
- Geometric moment zeta functions 1113