Existence and Deformation Theory for Scalar-Flat Kaehler Metrics on Compact Complex Surfaces
alg-geom
2009-10-22 v1 Algebraic Geometry
Abstract
Let M be a compact complex surface which admits a Kaehler metric whose scalar curvature has integral zero; and suppose the fundamental group of M does not contain an Abelian subgroup of finite index. Then if M is blown up at sufficiently many points, the resulting surface M' admits scalar-flat Kaehler metrics.
Cite
@article{arxiv.alg-geom/9302006,
title = {Existence and Deformation Theory for Scalar-Flat Kaehler Metrics on Compact Complex Surfaces},
author = {Claude LeBrun and Michael Singer},
journal= {arXiv preprint arXiv:alg-geom/9302006},
year = {2009}
}
Comments
60 pages, LaTeX