Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Green's canonical syzygy conjecture for generic curves of odd genus   We prove the Green conjecture for generic curves of odd genus. That is we
prove the vanishing $K_{k,1}(X,K_X)=0$ for $X$ generic of genus $2k+1$. The
curves we consider are smooth curves $X$ on a K3 surface whose Picard group has
rank 2. This completes our previous work, where the Green conjecture for
generic curves of genus $g$ with fixed gonality $d$ was proved in the range
$d\geq g/3$, with the possible exception of the generic curves of odd genus.

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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat