Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricting Higgs bundles to curves   We determine some classes of varieties X - that include the varieties with
numerically effective tangent bundle - satisfying the following property: if E
is a Higgs bundle such that f*E is semistable for any morphism f from a smooth
projective curve to X, then E is slope semistable and the discriminant of E is
zero in H4(X,R). We also characterize some classes of varieties such that the
underlying vector bundle of a slope semistable Higgs bundle is always slope
semistable.

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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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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: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg