Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\Lambda$-submodules of finite index of anticyclotomic plus and minus
  Selmer groups of elliptic curves   Let $p$ be an odd prime and $K$ an imaginary quadratic field where $p$
splits. Under appropriate hypotheses, Bertolini showed that the Selmer group of
a $p$-ordinary elliptic curve over the anticyclotomic $\mathbb Z_p$-extension
of $K$ does not admit any proper $\Lambda$-submodule of finite index, where
$\Lambda$ is a suitable Iwasawa algebra. We generalize this result to the plus
and minus Selmer groups (in the sense of Kobayashi) of $p$-supersingular
elliptic curves. In particular, in our setting the plus/minus Selmer groups
have $\Lambda$-corank one, so they are not $\Lambda$-cotorsion. As an
application of our main theorem, we prove results in the vein of
Greenberg-Vatsal on Iwasawa invariants of $p$-congruent elliptic curves,
extending to the supersingular case results for $p$-ordinary elliptic curves
due to Hatley-Lei.

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The categories of this paper are: nlin
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom