Log centres of noncommutative crepant resolutions are Kawamata log terminal: Remarks on a paper of Stafford and Van den Bergh

Abstract

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