Yukiyoshi Nakkajima, Atsushi Shiho

Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties (eBook, PDF)

• Format: PDF

Produktbeschreibung

>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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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 272
• Erscheinungstermin: 8. September 2008
• Englisch
• ISBN-13: 9783540705659
• Artikelnr.: 44120531

Inhaltsangabe

Preliminaries on Filtered Derived Categories and Topoi.- Weight Filtrations on Log Crystalline Cohomologies.- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).