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Titlebook: Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties; Yukiyoshi Nakkajima,Atsushi Shiho Book 2008 Sprin

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书目名称Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
编辑Yukiyoshi Nakkajima,Atsushi Shiho
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties;  Yukiyoshi Nakkajima,Atsushi Shiho Book 2008 Sprin
描述.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 E.2.-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..
出版日期Book 2008
关键词Cohomology; Filtered Künneth formula; Filtered base change formula; Weight-filtered complexes; p-adic pu
版次1
doihttps://doi.org/10.1007/978-3-540-70565-9
isbn_softcover978-3-540-70564-2
isbn_ebook978-3-540-70565-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2008
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https://doi.org/10.1007/978-3-540-70565-9Cohomology; Filtered Künneth formula; Filtered base change formula; Weight-filtered complexes; p-adic pu
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Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
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Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary),ology of a separated scheme of finite type over ℂ is constructed from the mixed Hodge complex on open smooth schemes over ℂ via the technique of proper hypercovering. The detailed proof of the results in this chapter is given by another book [70] by the first-named author.
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Preliminaries on Filtered Derived Categories and Topoi, because our weight-filtered complexes will be defined as objects in certain filtered derived categories. In the last two sections, we recall the notion of topoi associated to diagrams of topoi and prove several basic properties of the topoi associated to diagrams of (restricted) log crystalline topoi.
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