Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Selmer groups in the supersingular reduction case   Let $p$ be a fixed odd prime. Let $E$ be an elliptic curve defined over a
number field $F$ with good supersingular reduction at all primes above $p$. We
study both the classical and plus/minus Selmer groups over the cyclotomic
$\mathbb{Z}_p$-extension of $F$. In particular, we give sufficient conditions
for these Selmer groups to not contain a non-trivial sub-module of finite
index. Furthermore, when $p$ splits completely in $F$, we calculate the Euler
characteristics of the plus/minus Selmer groups over the compositum of all
$\mathbb{Z}_p$-extensions of $F$ when they are defined.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc