Toric singularities revisited

Mathematics – Commutative Algebra

Scientific paper

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new longer introduction, other minor improvements, 35 pages

Scientific paper

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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