paper

Linear Resolutions and Linear Quotients in Three Variables

arXiv:2509.15569

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.

10 pages, comments are welcome!

Linear Resolutions and Linear Quotients in Three Variables · wovepaper