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Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties af Atsushi Shiho, Yukiyoshi Nakkajima

Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties (Lecture Notes in Mathematics)

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Beskrivelse: 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... Læs mere

In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>... Læs mere

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Sprog:
Engelsk
ISBN-13:
9783540705659
Udgivet:
08-09-2008
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Forlagets beskrivelse
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 Kunneth formula, the weight-filtered Poincare 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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