English

Asymptotically conical Ricci flat K\"ahler metrics on $\mathbb{C}^2$ with cone singularities along a complex curve

Differential Geometry 2021-10-26 v2

Abstract

We prove an existence theorem for Asymptotically Conical Ricci Flat Kahler metrics in C2\mathbb{C}^2 with cone singularities along a smooth complex curve. These metrics are expected to arise as blow up limits of non collapsed sequences of Kahler Einstein metrics with cone singularities.

Keywords

Cite

@article{arxiv.1503.00574,
  title  = {Asymptotically conical Ricci flat K\"ahler metrics on $\mathbb{C}^2$ with cone singularities along a complex curve},
  author = {Martin de Borbon},
  journal= {arXiv preprint arXiv:1503.00574},
  year   = {2021}
}

Comments

New exposition. Typos corrected. The mathematical content and arguments remain the same