Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
Author:   Yukiyoshi Nakkajima ,  Atsushi Shiho
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2008 ed.
Volume:   1959
ISBN:  

9783540705642


Pages:   272
Publication Date:   15 September 2008
Format:   Paperback
Availability:   In Print   Availability explained
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Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties


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Overview

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.

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Author:   Yukiyoshi Nakkajima ,  Atsushi Shiho
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2008 ed.
Volume:   1959
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540705642


ISBN 10:   3540705643
Pages:   272
Publication Date:   15 September 2008
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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