Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties / by Yukiyoshi Nakkajima, Atsushi Shiho.

Format:

Book

Author/Creator:

Nakkajima, Yukiyoshi, author.

Shiho, Atsushi, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1959.

Lecture Notes in Mathematics, 0075-8434 ; 1959

Language:

English

Subjects (All):

Geometry, Algebraic.

Algebra.

Algebraic Geometry.

Commutative Rings and Algebras.

Local Subjects:

Algebraic Geometry.

Commutative Rings and Algebras.

Physical Description:

1 online resource (X, 272 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.

System Details:

text file PDF

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.

Contents:

Preliminaries on Filtered Derived Categories and Topoi

Weight Filtrations on Log Crystalline Cohomologies

Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).

Other Format:

Printed edition:

ISBN:

9783540705659

Access Restriction:

Restricted for use by site license.