Initial ideal of a general rational or elliptic curve on quadrics

Francesca Cioffi; Davide Franco; Giovanna Ilardi

doi:10.1007/s10468-026-10401-9

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arXiv · 2506.12428

Initial ideal of a general rational or elliptic curve on quadrics

Francesca Cioffi·Davide Franco·Giovanna Ilardi

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Abstract

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.

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Francesca Cioffi, Davide Franco, Giovanna Ilardi. 2025-06-14. Initial ideal of a general rational or elliptic curve on quadrics. https://doi.org/10.1007/s10468-026-10401-9

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