Linear Resolutions and Linear Quotients in Three Variables
Commutative Algebra
2025-09-22 v1 Combinatorics
Abstract
In this paper, we provide a combinatorial criteria for equigenerated monomial ideals in three variables to have linear resolutions. As a consequence, we prove that in three variables, equigenerated monomial ideals with linear resolutions have linear quotients.
Cite
@article{arxiv.2509.15569,
title = {Linear Resolutions and Linear Quotients in Three Variables},
author = {Hoài Đào and Sreehari Suresh-Babu},
journal= {arXiv preprint arXiv:2509.15569},
year = {2025}
}
Comments
10 pages, comments are welcome!