Dualizing Complex of a Toric Face Ring II: Non-normal Case

Details Dualizing Complex of a Toric Face Ring II: Non-normal Case Dualizing Complex of a Toric Face Ring II: Non-normal Case

2009-03-25

arxiv.org/abs/0903.4310v1

Mathematics

Commutative Algebra

Scientific paper

The notion of "toric face rings" generalizes both Stanley-Reisner rings and
affine semigroup rings, and has been studied by Bruns, Romer, et.al. Here, we
will show that, for a toric face ring $R$, the "graded" Matlis dual of a Cech
complex gives a dualizing complex. In the most general setting, $R$ is not a
graded ring in the usual sense. Hence technical argument is required.

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