Baldassarri / Adolphson / Berthelot Geometric Aspects of Dwork Theory

1. Auflage 2008
ISBN: 978-3-11-019813-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Französisch, 1129 Seiten, Gewicht: 10 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.

Baldassarri, Francesco

Adolphson, Alan

Berthelot, Pierre

Katz, Nicholas

Loeser, Francois

Fachgebiete

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

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