Table of Contents of Volume II

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