On the minimal free resolution of the Rees algebra of tri-generated bivariate monomial ideals
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929218261090304 |
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| author | Iglesias, Rodrigo Orth, Matthias Sáenz-de-Cabezón, Eduardo Seiler, Werner M. |
| author_facet | Iglesias, Rodrigo Orth, Matthias Sáenz-de-Cabezón, Eduardo Seiler, Werner M. |
| contents | 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 $\mathcal{R}(I)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11558 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the minimal free resolution of the Rees algebra of tri-generated bivariate monomial ideals Iglesias, Rodrigo Orth, Matthias Sáenz-de-Cabezón, Eduardo Seiler, Werner M. Commutative Algebra Algebraic Geometry Rings and Algebras 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 $\mathcal{R}(I)$. |
| title | On the minimal free resolution of the Rees algebra of tri-generated bivariate monomial ideals |
| topic | Commutative Algebra Algebraic Geometry Rings and Algebras |
| url | https://arxiv.org/abs/2401.11558 |