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＜E-Book＞
Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties / by Yukiyoshi Nakkajima, Atsushi Shiho
(Lecture Notes in Mathematics. ISSN:16179692 ; 1959)

Edition	1st ed. 2008.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2008
Language	English
Size	X, 272 p : online resource
Authors	*Nakkajima, Yukiyoshi author Shiho, Atsushi author SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Commutative algebra LCSH:Commutative rings FREE:Algebraic Geometry FREE:Commutative Rings and Algebras
Notes	Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary) 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 HTTP:URL=https://doi.org/10.1007/978-3-540-70565-9

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