Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koszul almost complete intersections   Let $R = S/I$ be a quotient of a standard graded polynomial ring $S$ by an
ideal $I$ generated by quadrics. If $R$ is Koszul, a question of Avramov,
Conca, and Iyengar asks whether the Betti numbers of $R$ over $S$ can be
bounded above by binomial coefficients on the minimal number of generators of
$I$. Motivated by previous results for Koszul algebras defined by three
quadrics, we give a complete classification of the structure of Koszul almost
complete intersections and, in the process, give an affirmative answer to the
above question for all such rings.

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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg