Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral structures on the finite part $H^1_f(K, V)$ of a crystalline
  representation   We study integral structures of crystalline representations over an
unramified extension $K / \mathbb{Q}_p$ with the help of an auxillary ring
$A_{\textrm{exp}}$. This ring has the nice property that it contains the the
fundamental period (and its inverse) of $p$-adic Hodge theory, up to powers of
$p$. We establish an exact sequence using $A_{\textrm{exp}}$ and Frobenii on
its filtration, give a link to Fontaine-Laffaille modules and the Bloch-Kato
fundamental exact sequence and finally compute the integral finite part of a
lattice of a crystalline representation, giving a connection to the local
$L$-function of $V$.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin