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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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.
Imprint | Springer-Verlag |
Country of origin | Germany |
Series | Lecture Notes in Mathematics, 1959 |
Release date | September 2008 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2008 |
Authors | Yukiyoshi Nakkajima, Atsushi Shiho |
Dimensions | 235 x 155 x 15mm (L x W x T) |
Format | Paperback |
Pages | 272 |
Edition | 2008 ed. |
ISBN-13 | 978-3-540-70564-2 |
Barcode | 9783540705642 |
Categories | |
LSN | 3-540-70564-3 |