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Toric singularities revisited

Howard M Thompson
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Abstract

In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is log regular. And, these schemes allow one to generalize toric geometry to a theory that does not require a base field. This paper will extend this theory by removing normality requirements.

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Howard M Thompson. 2005-03-04. Toric singularities revisited. https://arxiv.org/abs/math/0305441

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