Castelnuovo-Mumford regularity and Gorensteinness of fiber cone
arXiv:1103.3555
Abstract
In this article, we study the Castelnuovo-Mumford regularity and Gorenstein properties of the fiber cone. We obtain upper bounds for the Castelnuovo-Mumford regularity of the fiber cone and obtain sufficient conditions for the regularity of the fiber cone to be equal to that of the Rees algebra. We obtain a formula for the canonical module of the fiber cone and use it to study the Gorenstein property of the fiber cone.
16 pages; Article is to appear in Communications in Algebra