| Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties 2008 Edition Contributor(s): Nakkajima, Yukiyoshi (Author), Shiho, Atsushi (Author) |
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ISBN: 3540705643 ISBN-13: 9783540705642 Publisher: Springer OUR PRICE: $47.49 Product Type: Paperback - Other Formats Published: September 2008 Annotation: 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 proven, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered KA1/4nneth formula, the weight-filtered PoincarA(c) 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Topology - General - Mathematics | Algebra - General |
| Dewey: 516.353 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.7" H x 6.1" W x 9.2" (1.00 lbs) 272 pages |