Koszul almost complete intersections
Commutative Algebra
2018-01-03 v1
Abstract
Let be a quotient of a standard graded polynomial ring by an ideal generated by quadrics. If is Koszul, a question of Avramov, Conca, and Iyengar asks whether the Betti numbers of over can be bounded above by binomial coefficients on the minimal number of generators of . 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.
Keywords
Cite
@article{arxiv.1801.00763,
title = {Koszul almost complete intersections},
author = {Matthew Mastroeni},
journal= {arXiv preprint arXiv:1801.00763},
year = {2018}
}