Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties

• Main Authors: Nakkajima, Yukiyoshi (Author), Shiho, Atsushi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1959
• Subjects: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Algebraic Geometry.; Commutative Rings and Algebras.

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 p...

Table of Contents:

• Preliminaries on Filtered Derived Categories and Topoi
• Weight Filtrations on Log Crystalline Cohomologies
• Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).