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Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1959)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
- Cohomology
- Filtered Künneth formula
- Filtered base change formula
- Weight-filtered complexes
- p-adic purity
- p-adic weight filtration
Authors and Affiliations
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Department of Mathematics, Tokyo Denki University, Tokyo, Japan
Yukiyoshi Nakkajima
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Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan
Atsushi Shiho
Bibliographic Information
Book Title: Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
Authors: Yukiyoshi Nakkajima, Atsushi Shiho
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-70565-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-70564-2Published: 15 September 2008
eBook ISBN: 978-3-540-70565-9Published: 08 September 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 272