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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2601.06739 |
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| _version_ | 1866908757122875392 |
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| author | George, Daniel Munoz Muñoz-George, Humberto George, Kevin Muñoz |
| author_facet | George, Daniel Munoz Muñoz-George, Humberto George, Kevin Muñoz |
| contents | Inspired by the Erdős Rényi model, we propose a new model for freesquare random monomial ideals generated by edges and covers of a graph. This permit us to investigate the conditions of normality for which we obtain asymptotic results. We also elaborate on asymptotic results for other invariants such as the Krull dimension (for which we obtain threshold function), the regularity and the $v$-number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06739 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Probabilities of random monomial ideals associated to large graphs George, Daniel Munoz Muñoz-George, Humberto George, Kevin Muñoz Commutative Algebra Probability 05C80, 60C05, 13C70 Inspired by the Erdős Rényi model, we propose a new model for freesquare random monomial ideals generated by edges and covers of a graph. This permit us to investigate the conditions of normality for which we obtain asymptotic results. We also elaborate on asymptotic results for other invariants such as the Krull dimension (for which we obtain threshold function), the regularity and the $v$-number. |
| title | Probabilities of random monomial ideals associated to large graphs |
| topic | Commutative Algebra Probability 05C80, 60C05, 13C70 |
| url | https://arxiv.org/abs/2601.06739 |