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arXiv · 2401.11558

On the minimal free resolution of the Rees algebra of tri-generated bivariate monomial ideals

Rodrigo Iglesias·Matthias Orth·Eduardo Sáenz-de-Cabezón·Werner M. Seiler
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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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Rodrigo Iglesias, Matthias Orth, Eduardo Sáenz-de-Cabezón, Werner M. Seiler. 2024-01-21. On the minimal free resolution of the Rees algebra of tri-generated bivariate monomial ideals. https://arxiv.org/abs/2401.11558

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