书目名称 | Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties |
编辑 | Yukiyoshi Nakkajima,Atsushi Shiho |
视频video | http://file.papertrans.cn/1022/1021963/1021963.mp4 |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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 E.2.-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.. |
出版日期 | Book 2008 |
关键词 | Cohomology; Filtered Künneth formula; Filtered base change formula; Weight-filtered complexes; p-adic pu |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-70565-9 |
isbn_softcover | 978-3-540-70564-2 |
isbn_ebook | 978-3-540-70565-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2008 |