Mathematical Research Letters

Volume 7, Issue 5, September 2000 pp. 605-614.

Crystalline subrepresentations and Neron models

Authors: Minhyong Kim and Susan H. Marshall
Author institution: University of Arizona

Summary: We propose the notion of the {\em crystalline sub-representation functor} defined on $p$-adic representations of the Galois groups of finite extensions of ${\mathbb{Q}_p}$, 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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