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Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings

Published 8 Aug 2011 in math.AC | (1108.1737v2)

Abstract: We show that the Eisenbud-Goto conjecture holds for (homogeneous) 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.

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