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

Name: Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
ISBN: 9783540705642

Yukiyoshi Nakkajima, Atsushi Shiho (auth.)

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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.

Կատեգորիաներ:

Mathematics - Geometry and Topology

Տարի:

2008

Հրատարակում:

Հրատարակչություն:

Springer-Verlag Berlin Heidelberg

Լեզու:

english

Էջեր:

272

ISBN 10: