Deformations of Nodal Kähler-Einstein Del Pezzo Surfaces with Discrete Automorphism Groups

Abstract

In this paper we prove that generic small partial smoothings of Kahler-Einstein (KE) Del Pezzo orbifolds with only nodal singularities, and with no non-zero holomorphic vector fields, admit orbifold KE metrics which are close in the Gromov-Hausdorff sense to the original KE metric.

22 pages. This paper comes from a section of my PhD Thesis

References in corpus (1)

• Asymptotically conical Calabi-Yau manifolds, I

Cited by in corpus (3)

• Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties
• Noncollapsed degeneration of Einstein 4-manifolds II
• Special Lagrangian cycles and Calabi-Yau transitions