Initial Ideal of a General Rational or Elliptic Curve on Quadrics
Abstract
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.
Fields of Study & Subjects
Advanced Numerical Analysis Techniques
Polynomial and algebraic computation
Commutative Algebra and Its Applications
Publication details
- Journal / source
- Algebras and Representation Theory
- Volume
- 29
- Issue
- 3
- Publication date
- 1 June 2026
- Language
- EN