Geometric Aspects of Dwork Theory

Frontmatter;12;Table of Contents of Volume I;73;The Mathematical Publications of Bernard Dwork;114;Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action;155;Exponential sums and free hyperplane arrangements;576;Sur la conjecture des p-courbures de Grothendieck–Katz et un problème de Dwork;697;Hilbert modular varieties of low dimension;1278;On Dwork cohomology for singular hypersurfaces;1919;On Dwork cohomology and algebraic D-modules;25910;An introduction to the theory of p-adic representations;26911;Smooth p-adic analytic spaces are locally contractible. II;30712;Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems;38513;Thirty years later;43314;Approximation of eigenforms of infinite slope by eigenforms of finite slope;45115;Crystalline cohomology of singular varieties;46516;Stacks of twisted modules and integral transforms;47717;On some rational generating series occuring in arithmetic geometry;52318;Compactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour G1(c, n);54119;Frontmatter;56920;Table of Contents of Volume II;57321;Variétés et formes modulaires de Hilbert arithmétiques pour 1(c, n);57522;Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems);63523;An introduction to the Riemann–Hilbert correspondence for unit F-crystals;69724;Introduction to L-functions of F-isocrystals;72125;Notes on some t-structures;73126;Non-vanishing modulo p of Hecke L-values;75527;On semistable reduction and the calculation of nearby cycles;80528;Inequalities related to Lefschetz pencils and integrals of Chern classes;82529;Full faithfulness for overconvergent F-isocrystals;83930;Frobenius action, F-isocrystals and slope filtration;85731;Conjecture on Abbes–Saito filtration and Christol–Mebkhout filtration;86532;Transformation de Fourier des D-modules arithmétiques I;87733;Boyarsky principle for D-modules and Loeser’s conjecture;92934;Cohomological descent in rigid cohomology;95135;Monodromie locale et fonctions Zêta des log schémas;100336;Trace et dualité relative pour les D-modules arithmétiques;105937;Geometric moment zeta functions