Weight filtrations on log crystalline cohomologies of families of open smooth varieties

Yukiyoshi Nakkajima, Atsushi Shiho

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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[目次]

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

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この本の情報

書名 Weight filtrations on log crystalline cohomologies of families of open smooth varieties
著作者等 中島 幸喜
志甫 淳
Shiho Atsushi
Nakkajima Yukiyoshi
シリーズ名 Lecture notes in mathematics
出版元 Springer
刊行年月 c2008
ページ数 x, 266 p.
大きさ 24 cm
ISBN 9783540705642
NCID BA87227949
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言語 英語
出版国 ドイツ
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