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