Linear Resolutions and Linear Quotients in Three Variables

Published 19 Sep 2025 in math.AC and math.CO | (2509.15569v1)

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.

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