Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constancy of Newton polygons of $F$-isocrystals on Abelian varieties and
  isotriviality of families of curves   We prove constancy of Newton polygons of all convergent $F$-isocrystals on
Abelian varieties over finite fields. Applying the constancy, we prove the
isotriviality of projective smooth families of curves over Abelian varieties.
We also study the isotriviality over simply connected projective smooth
varieties.

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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: patt-sol