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- W4296246523 abstract "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." @default.
- W4296246523 created "2022-09-19" @default.
- W4296246523 creator A5050018561 @default.
- W4296246523 date "2018-01-02" @default.
- W4296246523 modified "2023-10-16" @default.
- W4296246523 title "Koszul almost complete intersections" @default.
- W4296246523 doi "https://doi.org/10.48550/arxiv.1801.00763" @default.
- W4296246523 hasPublicationYear "2018" @default.
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