Crepant resolutions of 3-dimensional quotient singularities via Cox\n rings

2017/01/31 by Maria Donten-Bury, Donten-Bury, Maria, Maksymilian Grab +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1701.09149

openalex publication_date 2017/01/31 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We study Cox rings of crepant resolutions of quotient singularities\n\ℂ³/G where G is a finite subgroup of SL(3,\ℂ). We use\nthem to obtain information on the geometric structure of these resolutions,\nnumber of different resolutions and relations between them. In particular, we\ntreat explicitly several examples where G contains elements of age 2.\n

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