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

277 Pages·2008·2.138 MB·English
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by Yukiyoshi Nakkajima, Atsushi Shiho (auth.)| 2008| 277 pages| 2.138| English

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.)
Publication Year:2008
ISBN:9783540705642
Pages:277
Language:English
File Size:2.138
Format:PDF
Price:FREE
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