Castelnuovo-Mumford regularity and Gorensteinness of fiber cone

Published 18 Mar 2011 in math.AC | (1103.3555v1)

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.

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