Blowing up generalized Kahler 4-manifolds

Details Blowing up generalized Kahler 4-manifolds Blowing up generalized Kahler 4-manifolds

2011-06-08

arxiv.org/abs/1106.1481v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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.

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