Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings

Max Joachim Nitsche

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Submission date: 18. Oct. 2010 (revised version: December 2010)
Pages: 15
published in: Journal of algebra, 368 (2012), p. 345-357 
DOI number (of the published article): 10.1016/j.jalgebra.2012.05.004
Bibtex
MSC-Numbers: 13D45, 13F45
Keywords and phrases: Castelnuovo-Mumford regularity, Affine semigroup rings
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Abstract:
We show that the Eisenbud-Goto conjecture holds for seminormal simplicial affine semigroup rings. Moreover we prove an upper bound for the Castelnuovo-Mumford regularity in terms of the dimension, which is similar as in the normal case. Finally we compute explicitly the regularity of full Veronese rings.