Koszul almost complete intersections

JOURNAL OF ALGEBRA

卷:501

Article

关键词: Betti numbers;    Koszul algebras;    Almost complete intersections;   

DOI  :  10.1016/j.jalgebra.2017.12.020

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free