A note on the crystalline subrepresentation functor
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
We propose the notion of the {\em crystalline sub-representation functor} defined on -adic representations of the Galois groups of finite extensions of , with certain restrictions in the case of integral representations. By studying its right-derived functors, we find a natural extension of a formula of Grothendieck expressing the group of connected components of a Neron model of an abelian variety in terms of Galois cohomology.
Cite
@article{arxiv.math/0002192,
title = {A note on the crystalline subrepresentation functor},
author = {Minhyong Kim and Susan Marshall},
journal= {arXiv preprint arXiv:math/0002192},
year = {2007}
}