Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An ordinary abelian variety with an etale self-isogeny of p-power degree
  and no isotrivial factors   We construct, for every prime p, a function field K of characteristic p and
an ordinary abelian variety A over K, with no isotrivial factors, that admits
an etale self-isogeny of p-power degree. As a consequence, we deduce that there
exist ordinary abelian varieties over function fields whose groups of points
over the maximal purely inseparable extension is not finitely generated,
answering in the negative a question of Thomas Scanlon.

13
The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: eess