F-Signature of Affine Toric Varieties

2011/10/04 by Michael Von Korff, Von Korff, Michael · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1110.0552

openalex publication_date 2011/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Hilbert-Kunz series, F-signature series, and weak p-fractals
• Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions

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