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arXiv · 0903.4310

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

Kohji Yanagawa
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Abstract

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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Kohji Yanagawa. 2009-03-25. Dualizing Complex of a Toric Face Ring II: Non-normal Case. https://arxiv.org/abs/0903.4310

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