Initial ideal of a general rational or elliptic curve on quadrics
Commutative Algebra
2025-06-17 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2506.12428,
title = {Initial ideal of a general rational or elliptic curve on quadrics},
author = {Francesca Cioffi and Davide Franco and Giovanna Ilardi},
journal= {arXiv preprint arXiv:2506.12428},
year = {2025}
}
Comments
12 pages. Comments are welcome