Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on Frobenius descent for vector bundles   We give a class of examples of vector bundles on a relative smooth projective
curve over Spec Z such that for infinitely many prime reductions the bundle has
a Frobenius descent, but the restriction to the generic fiber in characteristic
zero is not semistable. In the third section of the paper we prove for a large
class of varieties (including abelian varieties) that any vector bundle with
this Frobenius descent property is generically semistable.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
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The categories of this paper are: nlin