Nakkajima / Shiho Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties

Erscheinungsjahr 2008
ISBN: 978-3-540-70565-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1959, 272 Seiten, eBook

Reihe: Lecture Notes in Mathematics

In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E 2 -degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0.

Zielgruppe

Research

Autoren/Hrsg.

Nakkajima, Yukiyoshi

Shiho, Atsushi

Inhaltsverzeichnis

Preliminaries on Filtered Derived Categories and Topoi.- Weight Filtrations on Log Crystalline Cohomologies.- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).