Article ID Journal Published Year Pages File Type
8896265 Journal of Algebra 2018 18 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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