A note on the crystalline subrepresentation functor

Details A note on the crystalline subrepresentation functor A note on the crystalline subrepresentation functor

2000-02-23

arxiv.org/abs/math/0002192v1

Mathematics

Algebraic Geometry

Scientific paper

We propose the notion of the {\em crystalline sub-representation functor} defined on $p$-adic representations of the Galois groups of finite extensions of $\Qp$, 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.

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