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02607nam a22004935i 4500 |
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|a 9783540705659
|9 978-3-540-70565-9
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|a 10.1007/978-3-540-70565-9
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|a 516.35
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|a Nakkajima, Yukiyoshi.
|e author.
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|a Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
|h [electronic resource] /
|c by Yukiyoshi Nakkajima, Atsushi Shiho.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2008.
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|a X, 272 p.
|b online resource.
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|a text
|b txt
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1959
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|a Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).
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|a 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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|a Mathematics.
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|a Algebraic geometry.
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|a Commutative algebra.
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|a Commutative rings.
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|a Mathematics.
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|a Algebraic Geometry.
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|a Commutative Rings and Algebras.
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|a Shiho, Atsushi.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540705642
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1959
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|u http://dx.doi.org/10.1007/978-3-540-70565-9
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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