Initial ideal of a general rational or elliptic curve on quadrics
arXiv:2506.12428 · doi:10.1007/s10468-026-10401-9
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.
12 pages. Comments are welcome