Gorenstein modifications and $\mathbb{Q}$-Gorenstein rings

Hailong Dao, Osamu Iyama, Ryo Takahashi +1

Let $R$ be a Cohen--Macaulay normal domain with a canonical module ${\omega }_R$. It is proved that if $R$ admits a noncommutative crepant resolution (NCCR), then necessarily it is $\mathb…