Extending one-forms on F-regular singularities

2025/02/24 by Tatsuro Kawakami, Kenta Sato, Kawakami, Tatsuro +1 · 1 citation
Mathematics · #13A35 #14B05 #14F10 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2502.17148

openalex publication_date 2025/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the logarithmic extension theorem for one-forms on strongly F-regular singularities. Additionally, we establish the logarithmic extension theorem for one-forms on three-dimensional klt singularities in characteristic p>41. To this end, we reduce the problem to the logarithmic extension theorem for two-dimensional klt singularities with imperfect residue fields using a technique based on Cartier operators.

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• On Steenbrink vanishing for rational singularities in positive characteristic

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