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On the minimal free resolution of the Rees algebra of tri-generated bivariate monomial ideals (2401.11558v1)
Published 21 Jan 2024 in math.AC, math.AG, and math.RA
Abstract: Let $I$ be a monomial ideal in two variables generated by three monomials and let $\mathcal{R}(I)$ be its Rees ideal. We describe an algorithm to compute the minimal generating set of $\mathcal{R}(I)$. Based on the data obtained by this algorithm, we build a graph that encodes the minimal free resolution of $\mathcal{R}(I)$. We explicitly describe the modules and differentials on the minimal free resolution of $\mathcal{R}(I)$.
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