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Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties 2008 Edition
Contributor(s): Nakkajima, Yukiyoshi (Author), Shiho, Atsushi (Author)
ISBN: 3540705643     ISBN-13: 9783540705642
Publisher: Springer
OUR PRICE:   $47.49  
Product Type: Paperback - Other Formats
Published: September 2008
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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