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About Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
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 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.
Detailed Information
Author: | Yukiyoshi Nakkajima, Atsushi Shiho (auth.) |
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Publication Year: | 2008 |
ISBN: | 9783540705642 |
Pages: | 277 |
Language: | English |
File Size: | 2.138 |
Format: | |
Price: | FREE |
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