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.
Initial ideal of a general rational or elliptic curve on quadrics / Cioffi, Francesca; Franco, Davide; Ilardi, Giovanna. - (2025).
Initial ideal of a general rational or elliptic curve on quadrics
Francesca Cioffi
;Davide Franco;Giovanna Ilardi
2025
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.File in questo prodotto:
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