Log Centres of Noncommutative Crepant Resolutions are Kawamata Log Terminal: Remarks on a paper of Stafford and van den Bergh

2023/02/16 by Ingalls, Colin, Yasuda, Takehiko
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2302.08376

Abstract

We show that if a finitely generated prime algebra Δ is a finitely generated maximal Cohen-Macaulay module over its centre Z, and has global dimension equal to dim Z, then the pair given by its centre and ramification divisor is Kawamata log terminal.

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• Examples of non-commutative crepant resolutions of Cohen Macaulay normal domains
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• Gorenstein modifications and ℚ-Gorenstein rings