Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties

2008
ISBN: 978-3-540-70564-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1959, 272 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 435 g

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-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.

Shiho, Atsushi

Nakkajima, Yukiyoshi

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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