Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli of Vector Bundles on Curves in Positive Characteristics   Let X be a projective curve of genus 2 over an algebraically closed field of
characteristic 2. The Frobenius map on X induces a rational map on the moduli
scheme of rank-2 bundles. We show that up to isomorphism, there is only one (up
to tensoring by an order two line bundle) semi-stable vector bundle of rank 2
(with determinant equal to a theta characteristic) whose Frobenius pull-back is
not semi-stable. The indeterminacy of the Frobenius map at this point can be
resolved by introducing Higgs bundles.

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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: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg