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MiS Preprint
61/2010

Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings

Max Joachim Nitsche

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.

Received:
Oct 18, 2010
Published:
Oct 20, 2010
MSC Codes:
13D45, 13F45
Keywords:
Castelnuovo-Mumford regularity, Affine semigroup rings

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inJournal
2012 Repository Open Access
Max Joachim Bernd Nitsche

Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings

In: Journal of algebra, 368 (2012), pp. 345-357