2 papers
math.AC2025
Initial ideal of a general rational or elliptic curve on quadrics
Francesca Cioffi, Davide Franco, Giovanna Ilardi
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…
math.AG2025
Abhyankar-Moh Semigroups for arbitrary hypersurfaces
Fuensanta Aroca, Annel Ayala, Oscar Castañon +1
For an arbitrary hypersurface singularity, we construct a family of semigroups associated with algebraically closed fields that arise as an infinite union of rings of series. These…