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Kähler-Ricci solitons on crepant resolutions of finite quotients of $C^n$

By Heather Macbeth

Also appears in collection : Constant scalar curvature metrics in Kähler and Sasaki geometry / Métriques à courbure scalaire constante en géométrie Kählérienne et Sasakienne

By a gluing construction, we produce steady Kähler-Ricci solitons on equivariant crepant resolutions of $\mathbb{C}^n/G$, where $G$ is a finite subgroup of $SU(n)$, generalizing Cao’s construction of such a soliton on a resolution of $\mathbb{C}^n/\mathbb{Z}_n$. This is joint work with Olivier Biquard.

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Citation data

  • DOI 10.24350/CIRM.V.19264103
  • Cite this video Macbeth, Heather (18/01/2018). Kähler-Ricci solitons on crepant resolutions of finite quotients of $C^n$. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19264103
  • URL https://dx.doi.org/10.24350/CIRM.V.19264103

Bibliography

  • Biquard, O., & Macbeth, H. (2017). Steady Kähler-Ricci solitons on crepant resolutions of finite quotients of $\mathbb{C}^n$. <arXiv:1711.02019> - https://arxiv.org/abs/1711.02019

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