Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The gonality conjecture on syzygies of algebraic curves of large degree   We show that a small variant of the methods used by Voisin in her study of
canonical curves leads to a surprisingly quick proof of the gonality conjecture
of Green and the second author, asserting that one can read off the gonality of
a curve C from its resolution in the embedding defined by any one line bundle
of sufficiently large degree. More generally, we establish a necessary and
sufficient condition for the asymptotic vanishing of the weight one syzygies of
the module associated to an arbitrary line bundle on C.

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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg