Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $p$-Selmer growth in extensions of degree $p$   There is a known analogy between growth questions for class groups and for
Selmer groups. If $p$ is a prime, then the $p$-torsion of the ideal class group
grows unboundedly in $\mathbb{Z}/p\mathbb{Z}$-extensions of a fixed number
field $K$, so one expects the same for the $p$-Selmer group of a nonzero
abelian variety over $K$. This Selmer group analogue is known in special cases
and we prove it in general, along with a version for arbitrary global fields.

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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg