English

ALE scalar-flat K\"ahler metrics on non-compact weighted projective spaces

Differential Geometry 2016-03-25 v2

Abstract

We construct new explicit toric scalar-flat K{\"a}hler ALE metrics on weighted projective spaces of non-compact type, which we use to obtain smooth extremal K{\"a}hler metrics on appropriate resolutions of orbifolds. In particular, we obtain new extremal metrics certain resolutions of weighted projective spaces of compact type.

Keywords

Cite

@article{arxiv.1510.02226,
  title  = {ALE scalar-flat K\"ahler metrics on non-compact weighted projective spaces},
  author = {Vestislav Apostolov and Yann Rollin},
  journal= {arXiv preprint arXiv:1510.02226},
  year   = {2016}
}

Comments

36 pages. Expanded version