Limits of graded Gorenstein algebras of Hilbert function $(1,3^k,1)$

Abstract

Let R = k[x, y, z], the polynomial ring over a field k. Several of the authors previously classified nets of ternary conics and their specializations over an algebraically closed field [AEI]. Building on this work, we here show that when k is algebraically closed, and the * Our friend and colleague Jacques Emsalem passed on 12 July, 2022, after an illness; he had participated actively and enthusiastically in our work.