Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitesimal deformation of p-adic differential equations on Berkovich
  curves   We show that if a differential equations $\mathscr{F}$ over a quasi-smooth
Berkovich curve $X$ has a certain compatibility condition with respect to an
automorphism $\sigma$ of $X$, and if the automorphism is sufficiently close to
the identity, then $\mathscr{F}$ acquires a semi-linear action of $\sigma$
(i.e. lifting that on $X$). This generalizes the previous works of Yves
Andr\'e, Lucia Di Vizio, and the author about $p$-adic $q$-difference
equations. We also obtain an application to Morita's $p$-adic Gamma function,
and to related values of $p$-adic $L$-functions.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex