The adjoint polynomial of a polyhedral cone is a covolume polynomial
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.
Fields of Study & Subjects
Mathematics and Applications
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 26 May 2026
- Language
- EN