Adhiraj Chhoda

Maximal permanents, the singular locus of the permanent, and its strength

We prove that for every k ≥ 1 the k+1 maximal permanents of a generic k×(k+1) matrix generate a radical complete intersection of codimension k+1. This establishes, in a stronger form, a conjecture of Boralevi, Carlini, Michałek and Ventura. It also shows that the ideal of maximal...