Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the crystalline subrepresentation functor   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.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th