Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on the generic vanishing of Koszul cohomology   We give a sufficient condition to study the vanishing of certain Koszul
cohomology groups for general pairs $(X,L)\in W^r_{g,d}$ by induction. As an
application, we show that to prove the Maximal Rank Conjecture (for quadrics),
it suffices to check all cases with the Brill-Noether number $\rho=0$.

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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
18
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: chem-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: cmp-lg
1
The categories of this paper are: cs