The Adjoint Polynomial of a Polyhedral Cone is a Covolume Polynomial
Guanxi Li
公開日: 2025/9/24
Abstract
In this paper, we showed that the adjoint polynomial of a polyhedral cone equals the multidegree polynomial of the toric ideal with multigrading, both given by the vertex rays. This fact implies a conjecture of Aluffi, to the effect that the adjoint polynomial of a polyhedral cone in the positive orthant is a covolume polynomial.