Initial ideal of a general rational or elliptic curve on quadrics
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916793997590528 |
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| author | Cioffi, Francesca Franco, Davide Ilardi, Giovanna |
| author_facet | Cioffi, Francesca Franco, Davide Ilardi, Giovanna |
| contents | Over an algebraically closed field of characteristic zero, we prove that the generic initial ideal with respect to the degree reverse lexicographic term order of a general rational or elliptic curve on quadrics is almost revlex. Following constructive arguments, our proof combines features of a pencil of quadrics, interpolation methods and the notion of double generic initial ideal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12428 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Initial ideal of a general rational or elliptic curve on quadrics Cioffi, Francesca Franco, Davide Ilardi, Giovanna Commutative Algebra Algebraic Geometry 14Q05, 13P10, 15A03 Over an algebraically closed field of characteristic zero, we prove that the generic initial ideal with respect to the degree reverse lexicographic term order of a general rational or elliptic curve on quadrics is almost revlex. Following constructive arguments, our proof combines features of a pencil of quadrics, interpolation methods and the notion of double generic initial ideal. |
| title | Initial ideal of a general rational or elliptic curve on quadrics |
| topic | Commutative Algebra Algebraic Geometry 14Q05, 13P10, 15A03 |
| url | https://arxiv.org/abs/2506.12428 |