Weight filtrations on log crystalline cohomologies of families of open smooth varieties
Author(s)
Bibliographic Information
Weight filtrations on log crystalline cohomologies of families of open smooth varieties
（Lecture notes in mathematics, 1959）
Springer, c2008
- : pbk
Available at 54 libraries
Note
Includes bibliographical reference (p. 261-264) and index
Description and Table of Contents
Description
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 Kunneth formula, the weight-filtered Poincare duality, and the E2-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.
Table of Contents
Preliminaries on Filtered Derived Categories and Topoi.- Weight Filtrations on Log Crystalline Cohomologies.- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).
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