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math.AG2020
Orbit and Orbit Closure Containments for Cubic Surfaces
Eunice Sukarto
Given two elements of a vector space acted on by a reductive group, we ask whether they lie in the same orbit, and if not, whether one lies in the orbit closure of the other. We de…
math.AG2019
Ranks and Singularities of Cubic Surfaces
Anna Seigal, Eunice Sukarto
We explore the connection between the rank of a polynomial and the singularities of its vanishing locus. We first describe the singularity of generic polynomials of fixed rank. We…