Geometric Aspects of Dwork Theory

1. Auflage 2004
ISBN: 978-3-11-017478-6
Verlag: De Gruyter

Buch, Englisch, Französisch, 1129 Seiten, 2 volumes., Format (B × H): 175 mm x 246 mm, Gewicht: 2287 g

Reihe: De Gruyter Proceedings in Mathematics

Dieses zweibändige Werk versammelt Vorlesungen, gehalten in memoriam Professor Bernard Dwork (1923-1998), anlässlich eines dreimonatigen Vorlesungszyklus in Norditalien von Mai bis Juli 2001.

Zielgruppe

Research Mathematicians, Academic Libraries

Autoren/Hrsg.

Adolphson, Alan

Baldassarri, Francesco

Loeser, Francois

Berthelot, Pierre

Katz, Nicholas

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Geometric Aspects of Dwork Theory. Volume I
Frontmatter
Table of Contents of Volume I
The Mathematical Publications of Bernard Dwork
Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action
Exponential sums and free hyperplane arrangements
Sur la conjecture des p-courbures de Grothendieck–Katz et un problème de Dwork
Hilbert modular varieties of low dimension
On Dwork cohomology for singular hypersurfaces
On Dwork cohomology and algebraic D-modules
An introduction to the theory of p-adic representations
Smooth p-adic analytic spaces are locally contractible. II
Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems
Thirty years later
Approximation of eigenforms of infinite slope by eigenforms of finite slope
Crystalline cohomology of singular varieties
Stacks of twisted modules and integral transforms
On some rational generating series occuring in arithmetic geometry
Compactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour G1(c, n)

Geometric Aspects of Dwork Theory. Volume II

Frontmatter
Table of Contents of Volume II
Variétés et formes modulaires de Hilbert arithmétiques pour G1(c, n)
Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems)
An introduction to the Riemann–Hilbert correspondence for unit F-crystals
Introduction to L-functions of F-isocrystals
Notes on some t-structures
Non-vanishing modulo p of Hecke L-values
On semistable reduction and the calculation of nearby cycles
Inequalities related to Lefschetz pencils and integrals of Chern classes
Full faithfulness for overconvergent F-isocrystals
Frobenius action, F-isocrystals and slope filtration
Conjecture on Abbes–Saito filtration and Christol–Mebkhout filtration
Transformation de Fourier des D-modules arithmétiques I
Boyarsky principle for D-modules and Loeser’s conjecture
Cohomological descent in rigid cohomology
Monodromie locale et fonctions Zêta des log schémas
Trace et dualité relative pour les D-modules arithmétiques
Geometric moment zeta functions