Custom cover image
Custom cover image

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

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Berlin ; Heidelberg : Springer, 2008Description: Online-Ressource (digital)ISBN:
  • 9783540705659
Subject(s): Additional physical formats: 9783540705642 | Buchausg. u.d.T.: Weight filtrations on log crystalline cohomologies of families of open smooth varieties. Berlin : Springer, 2008. X, 266 S.DDC classification:
  • 510.08
  • 516.35
  • 510
MSC: MSC: *14-02 | 14F30 | 14F40RVK: RVK: SI 850LOC classification:
  • QA564-609
  • QA251
DOI: DOI: 10.1007/978-3-540-70565-9Online resources: Summary: Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).Summary: 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
No physical items for this record
KIT – The University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT