Scalar-Flat Kaehler Surfaces of All Genera
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
Let (M,J) be a compact complex 2-manifold which which admits a Kaehler metric for which the integral of the scalar curvature is non-negative. Also suppose that M does not admit a Ricci-flat K\"ahler metric. Then if M is blown up at sufficiently many points, the resulting complex surface admits Kaehler metrics with scalar curvature identically equal to zero.
Keywords
Cite
@article{arxiv.dg-ga/9409002,
title = {Scalar-Flat Kaehler Surfaces of All Genera},
author = {Jongsu Kim and Claude LeBrun and Massimiliano Pontecorvo},
journal= {arXiv preprint arXiv:dg-ga/9409002},
year = {2008}
}
Comments
37 pages, LaTeX with PicTeX diagrams