Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings

Details Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings

2011-08-08

arxiv.org/abs/1108.1737v2

Mathematics

Commutative Algebra

Minor revisions

Scientific paper

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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