The F-pure threshold of a Calabi-Yau hypersurface

2013/07/03 by Bhargav Bhatt, Anurag K. Singh, Bhatt, Bhargav +1 · 1 citation
Computer Science · Mathematics · #14B07 #14H52 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 13A35 #Secondary 13D45

paper · pdf · doi:10.48550/arxiv.1307.1171

openalex publication_date 2013/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The F-pure threshold is a positive characteristic numerical invariant, analogous to the log canonical threshold in characteristic zero. We compute the F-pure threshold of the affine cone over a Calabi-Yau hypersurface, and relate it to the order of vanishing of the Hasse invariant on the versal deformation space of the hypersurface.

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• Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings

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