Blowing up generalized Kähler 4-manifolds
Publication date
2011
Authors
Cavalcanti, Gil R.
Gualtieri, M.
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Abstract
We show that the blow-up of a generalized Kähler 4-manifold in a nondegenerate complex point admits a generalized Kähler 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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Citation
Cavalcanti, G R & Gualtieri, M 2011, 'Blowing up generalized Kähler 4-manifolds', Bulletin of the Brazilian Mathematical Society, vol. 42, no. 4, pp. 537-557. https://doi.org/10.1007/s00574-011-0028-1