Duality, a-invariants and canonical modules of rings arising from linear optimization problems
Commutative Algebra
2008-12-05 v1 Combinatorics
Abstract
The aim of this paper is to study integer rounding properties of various systems of linear inequalities to gain insight about the algebraic properties of Rees algebras of monomial ideals and monomial subrings. We study the normality and Gorenstein property--as well as the canonical module and the a-invariant--of Rees algebras and subrings arising from systems with the integer rounding property. We relate the algebraic properties of Rees algebras and monomial subrings with integer rounding properties and present a duality theorem.
Cite
@article{arxiv.0812.0823,
title = {Duality, a-invariants and canonical modules of rings arising from linear optimization problems},
author = {Joseph P. Brennan and Luis A. Dupont and Rafael H. Villarreal},
journal= {arXiv preprint arXiv:0812.0823},
year = {2008}
}