Buch, Englisch, Französisch, 1129 Seiten, 2 volumes., Format (B × H): 175 mm x 246 mm, Gewicht: 2287 g
Reihe: ISSN
Buch, Englisch, Französisch, 1129 Seiten, 2 volumes., Format (B × H): 175 mm x 246 mm, Gewicht: 2287 g
Reihe: ISSN
ISBN: 978-3-11-017478-6
Verlag: De Gruyter
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.
Zielgruppe
Research Mathematicians, Academic Libraries
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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
