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arXiv · 1108.1737

Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings

Max Joachim Nitsche
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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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Max Joachim Nitsche. 2011-08-08. Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings. https://arxiv.org/abs/1108.1737

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