Castelnuovo-Mumford regularity and Gorensteinness of fiber cone

2011/03/18 by A. V. Jayanthan, Jayanthan, A. V., Ramakrishna Nanduri +1
Mathematics · #13C15 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C15 #msc:13H10

paper · pdf · doi:10.48550/arxiv.1103.3555

16 pages; Article is to appear in Communications in Algebra

arxiv created 2011/03/18 · arxiv updated 2011/03/21

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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