Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties / by Yukiyoshi Nakkajima, Atsushi Shiho; edited by J. -M. Morel, F. Takens, B. Teissier

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Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: SpringerLink BücherVerlag: Berlin ; Heidelberg : Springer, 2008Beschreibung: Online-Ressource (digital)ISBN:

9783540705659

Schlagwörter:

Andere physische Formen: 9783540705642 | Buchausg. u.d.T.: Weight filtrations on log crystalline cohomologies of families of open smooth varieties. Berlin : Springer, 2008. X, 266 S.DDC-Klassifikation:

510.08
516.35
510

MSC: MSC: *14-02 | 14F30 | 14F40RVK: RVK: SI 850LOC-Klassifikation:

QA564-609
QA251

DOI: DOI: 10.1007/978-3-540-70565-9Online-Ressourcen:

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Zusammenfassung: Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).Zusammenfassung: 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.PPN: PPN: 1647488621Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA

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