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Non-vanishing modulo p of Hecke L-values

  • Haruzo Hida
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Geometric Aspects of Dwork Theory
This chapter is in the book Geometric Aspects of Dwork Theory

Chapters in this book

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