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Singular Log Structures and Log Crepant Log Resolutions I

2025/03/14 by Alessio Corti, Corti, Alessio, Tim Graefnitz +3
Mathematics · #14A21 #14B05 #14E15 #14J33 #14J45 #14M25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2503.11610

openalex publication_date 2025/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a class of singular log schemes in three dimensions and conjecture that log schemes in this class admit log crepant log resolutions. We provide examples as evidence and relate this conjecture to the conjecture made in [4] and the Gross--Siebert program.

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