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Geometric Aspects of Dwork Theory

:	Alan Adolphson, Francesco Baldassarri, Pierre Berthelot, Nicholas Katz, Francois Loeser
:	Geometric Aspects of Dwork Theory
:	Walter de Gruyter GmbH& Co.KG
:	9783110198133
:	De Gruyter Proceedings in Mathematics
:	1
:	CHF 567.70
:

:	Allgemeines, Lexika
:	English

:	1129
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998).

It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of thep-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms.

The two volumes contain both important new research and illuminating survey articles written by leading experts in the field. The book willprovide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.

	Frontmatter	1
	Table of Contents of Volume I	7
	The Mathematical Publications of Bernard Dwork	11
	Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action	15
	Exponential sums and free hyperplane arrangements	57
	Sur la conjecture des p-courbures de Grothendieck–Katz et un problème de Dwork	69
	Hilbert modular varieties of low dimension	127
	On Dwork cohomology for singular hypersurfaces	191
	On Dwork cohomology and algebraic D-modules	259
	An introduction to the theory of p-adic representations	269
	Smooth p-adic analytic spaces are locally contractible. II	307
	Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems	385
	Thirty years later	433
	Approximation of eigenforms of infinite slope by eigenforms of finite slope	451
	Crystalline cohomology of singular varieties	465
	Stacks of twisted modules and integral transforms	477
	On some rational generating series occuring in arithmetic geometry	523
	Compactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour G1(c, n)	541
	Frontmatter	569
	Table of Contents of Volume II	573
	Variétés et formes modulaires de Hilbert arithmétiques pour 1(c, n)	575
	Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems)	635
	An introduction to the Riemann–Hilbert correspondence for unit F-crystals	697
	Introduction to L-functions of F-isocrystals	721
	Notes on some t-structures	731
	Non-vanishing modulo p of Hecke L-values	755
	On semistable reduction and the calculation of nearby cycles	805
	Inequalities related to Lefschetz pencils and integrals of Chern classes	825
	Full faithfulness for overconvergent F-isocrystals	839
	Frobenius action, F-isocrystals and slope filtration	857
	Conjecture on Abbes–Saito filtration and Christol–Mebkhout filtration	865
	Transformation de Fourier des D-modules arithmétiques I	877
	Boyarsky principle for D-modules and Loeser’s conjecture	929
	Cohomological descent in rigid cohomology	951
	Monodromie locale et fonctions Zêta des log schémas	1003
	Trace et dualité relative pour les D-modules arithmétiques	1059
	Geometric moment zeta functions	1133