Tangent Cones of Concatenated Numerical Semigroups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916790530998272 |
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| author | Mehta, Ranjana Saha, Joydip Sengupta, Indranath |
| author_facet | Mehta, Ranjana Saha, Joydip Sengupta, Indranath |
| contents | We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concatenation classes have Cohen-Macaulay tangent cones except the symmetric class, however, the symmetric class does satisfy Rossi's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09400 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tangent Cones of Concatenated Numerical Semigroups Mehta, Ranjana Saha, Joydip Sengupta, Indranath Commutative Algebra 13C40, 13P10 We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concatenation classes have Cohen-Macaulay tangent cones except the symmetric class, however, the symmetric class does satisfy Rossi's conjecture. |
| title | Tangent Cones of Concatenated Numerical Semigroups |
| topic | Commutative Algebra 13C40, 13P10 |
| url | https://arxiv.org/abs/2506.09400 |