F-Signature of Affine Toric Varieties

Mathematics – Commutative Algebra

Scientific paper

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20 pages, 2 figures; added reference for Theorem 3.3

Scientific paper

We express the F-signature of the coordinate ring of an affine toric variety
as the volume of a certain polytope, generalizing a formula of Watanabe and
Yoshida. We also compute the F-signature of pairs and triples of a toric
singularity.

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