On steady non-commutative crepant resolutions

  • Osamu Iyama

    Nagoya University, Japan
  • Yusuke Nakajima

    Nagoya University, Japan and University of Tokyo, Japan


We introduce special classes of non-commutative crepant resolutions (= NCCR) which we call steady and splitting. We show that a singularity has a steady splitting NCCR if and only if it is a quotient singularity by a finite abelian group. We apply our results to toric singularities and dimer models.

Cite this article

Osamu Iyama, Yusuke Nakajima, On steady non-commutative crepant resolutions. J. Noncommut. Geom. 12 (2018), no. 2, pp. 457–471

DOI 10.4171/JNCG/283