Blowing up generalized Kahler 4-manifolds
Differential Geometry
2012-08-15 v1 Algebraic Geometry
Abstract
We show that the blow-up of a generalized Kahler 4-manifold in a nondegenerate complex point admits a generalized Kahler metric. As with the blow-up of complex surfaces, this metric may be chosen to coincide with the original outside a tubular neighbourhood of the exceptional divisor. To accomplish this, we develop a blow-up operation for bi-Hermitian manifolds.
Keywords
Cite
@article{arxiv.1106.1481,
title = {Blowing up generalized Kahler 4-manifolds},
author = {Gil R. Cavalcanti and Marco Gualtieri},
journal= {arXiv preprint arXiv:1106.1481},
year = {2012}
}
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16 pages