Deformations of Nodal K\"ahler-Einstein Del Pezzo Surfaces with Discrete Automorphism Groups
Differential Geometry
2017-05-17 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1211.5344,
title = {Deformations of Nodal K\"ahler-Einstein Del Pezzo Surfaces with Discrete Automorphism Groups},
author = {Cristiano Spotti},
journal= {arXiv preprint arXiv:1211.5344},
year = {2017}
}
Comments
22 pages. This paper comes from a section of my PhD Thesis