Format:
Online-Ressource (digital)
ISBN:
9783540705659
Series Statement:
SpringerLink
Content:
Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).
Content:
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 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.
Note:
Includes bibliographical references and index
Additional Edition:
ISBN 9783540705642
Additional Edition:
Buchausg. u.d.T. Nakkajima, Yukiyoshi Weight filtrations on log crystalline cohomologies of families of open smooth varieties Berlin : Springer, 2008 ISBN 9783540705642
Language:
English
Subjects:
Mathematics
Keywords:
Kristalline Kohomologie
;
Glatte Varietät
DOI:
10.1007/978-3-540-70565-9
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Morel, Jean-Michel 1953-
Author information:
Nakkajima, Yukiyoshi