On a conjecture of Moreno-Frías and Rosales for numerical semigroups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913276766453760 |
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| author | Watari, Masahiro |
| author_facet | Watari, Masahiro |
| contents | The present paper addresses a semimodule counting conjecture of Moreno-Frías and Rosales for numerical semigroups. Applying Pfister and Steenbrink's Theory for punctual Hilbert schemes of curve singularities, we show that this conjecture is true for any numerical semigroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14424 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a conjecture of Moreno-Frías and Rosales for numerical semigroups Watari, Masahiro Number Theory Algebraic Geometry 20M14, 14C05, 14H20 The present paper addresses a semimodule counting conjecture of Moreno-Frías and Rosales for numerical semigroups. Applying Pfister and Steenbrink's Theory for punctual Hilbert schemes of curve singularities, we show that this conjecture is true for any numerical semigroup. |
| title | On a conjecture of Moreno-Frías and Rosales for numerical semigroups |
| topic | Number Theory Algebraic Geometry 20M14, 14C05, 14H20 |
| url | https://arxiv.org/abs/2403.14424 |