<E-Book>
Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties / by Yukiyoshi Nakkajima, Atsushi Shiho
(Lecture Notes in Mathematics. ISSN:16179692 ; 1959)
Edition | 1st ed. 2008. |
---|---|
Publisher | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
Year | 2008 |
Language | English |
Size | X, 272 p : online resource |
Authors | *Nakkajima, Yukiyoshi author Shiho, Atsushi author SpringerLink (Online service) |
Subjects | LCSH:Algebraic geometry LCSH:Commutative algebra LCSH:Commutative rings FREE:Algebraic Geometry FREE:Commutative Rings and Algebras |
Notes | Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (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 HTTP:URL=https://doi.org/10.1007/978-3-540-70565-9 |
TOC
Hide book details.
E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
---|---|---|---|---|---|---|---|---|---|---|---|---|
E-Book | オンライン | 電子ブック |
|
Springer eBooks | 9783540705659 |
|
電子リソース |
|
EB00236020 |
Similar Items
Usage statistics of this contents
Number of accesses to this page:3times
※After Sep 4, 2017