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Linear Resolutions and Linear Quotients in Three Variables

2025/09/19 by Hoài Đào, Đào, Hoài, Sreehari Suresh-Babu +1
Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/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.

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