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Geometric Aspects of Dwork Theory
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Edited by:
Alan Adolphson
Languages:
English, French
Published/Copyright:
2004
About this book
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 the p-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 will provide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.
Reviews
"The proceedings will be useful for a wide range of readers interested in modern applications of p-adic methods."
(spor) in: EMS-Newsletter 9/2007
Topics
- Geometric Aspects of Dwork Theory. Volume I
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Frontmatter
i -
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Table of Contents of Volume I
vii -
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The Mathematical Publications of Bernard Dwork
xi -
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Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action
1 -
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Exponential sums and free hyperplane arrangements
43 -
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Sur la conjecture des p-courbures de Grothendieck–Katz et un problème de Dwork
55 -
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Hilbert modular varieties of low dimension
113 -
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On Dwork cohomology for singular hypersurfaces
177 -
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On Dwork cohomology and algebraic D-modules
245 -
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An introduction to the theory of p-adic representations
255 -
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Smooth p-adic analytic spaces are locally contractible. II
293 -
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Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems
371 -
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Thirty years later
419 -
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Approximation of eigenforms of infinite slope by eigenforms of finite slope
437 -
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Crystalline cohomology of singular varieties
451 -
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Stacks of twisted modules and integral transforms
463 -
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On some rational generating series occuring in arithmetic geometry
509 -
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Compactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour Γ1(c, n)
527 - Geometric Aspects of Dwork Theory. Volume II
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Frontmatter
i -
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Table of Contents of Volume II
v -
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Variétés et formes modulaires de Hilbert arithmétiques pour Γ1(c, n)
555 -
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Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems)
615 -
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An introduction to the Riemann–Hilbert correspondence for unit F-crystals
677 -
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Introduction to L-functions of F-isocrystals
701 -
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Notes on some t-structures
711 -
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Non-vanishing modulo p of Hecke L-values
735 -
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On semistable reduction and the calculation of nearby cycles
785 -
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Inequalities related to Lefschetz pencils and integrals of Chern classes
805 -
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Full faithfulness for overconvergent F-isocrystals
819 -
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Frobenius action, F-isocrystals and slope filtration
837 -
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Conjecture on Abbes–Saito filtration and Christol–Mebkhout filtration
845 -
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Transformation de Fourier des D-modules arithmétiques I
857 -
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Boyarsky principle for D-modules and Loeser’s conjecture
909 -
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Cohomological descent in rigid cohomology
931 -
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Monodromie locale et fonctions Zêta des log schémas
983 -
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Trace et dualité relative pour les D-modules arithmétiques
1039 -
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Geometric moment zeta functions
1113
Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 22, 2008
eBook ISBN:
9783110198133
Hardcover published on:
August 25, 2004
Hardcover ISBN:
9783110174786
Pages and Images/Illustrations in book
Main content:
1129
Audience(s) for this book
Research Mathematicians; Academic Libraries
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
