Weight filtrations on log crystalline cohomologies of families of open smooth varieties
Yukiyoshi Nakkajima, Atsushi Shiho.
Bok Engelsk 2008 · Electronic books.
| Medvirkende | Shiho, Atsushi, (author.)
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|---|---|
| Omfang | 1 online resource (X, 272 p.)
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| Utgave | 1st ed. 2008.
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| Opplysninger | Bibliographic Level Mode of Issuance: Monograph. - 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.
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 3-540-70565-1
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