Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties Yukiyoshi Nakkajima

ISBN: 9783540705642

Published: November 1st 2008

Paperback

266 pages


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Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties  by  Yukiyoshi Nakkajima

Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties by Yukiyoshi Nakkajima
November 1st 2008 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 266 pages | ISBN: 9783540705642 | 5.28 Mb

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 theseMoreIn 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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