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Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings
Max Joachim NitscheAbstract
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:
- 18.10.10
- Published:
- 20.10.10
- MSC Codes:
- 13D45, 13F45
- Keywords:
- Castelnuovo-Mumford regularity, Affine semigroup rings