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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.
