Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
Yukiyoshi Nakkajima, Atsushi Shiho (auth.)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.
Категории:
Год:
2008
Издание:
1
Издательство:
Springer-Verlag Berlin Heidelberg
Язык:
english
Страницы:
272
ISBN 10:
3540705643
ISBN 13:
9783540705642
Серия:
Lecture Notes in Mathematics 1959
Файл:
PDF, 2.14 MB
IPFS:
,
english, 2008
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