English

A remark on K\"ahler metrics of constant scalar curvature on ruled complex surfaces

Differential Geometry 2007-05-23 v3 Algebraic Geometry

Abstract

We point out how some recent developments in the theory of constant scalar curvature K\"ahler metrics can be used to clarify the existence issue for such metrics in the special case of geometrically ruled complex surfaces.

Keywords

Cite

@article{arxiv.math/0411271,
  title  = {A remark on K\"ahler metrics of constant scalar curvature on ruled complex surfaces},
  author = {Vestislav Apostolov and Christina W. Tønnesen-Friedman},
  journal= {arXiv preprint arXiv:math/0411271},
  year   = {2007}
}

Comments

Corrected typos, updated references