Blowing up generalized Kähler 4-manifolds

G.R. Cavalcanti; M. Gualtieri

doi:10.1007/s00574-011-0028-1

Blowing up generalized Kähler 4-manifolds

G.R. Cavalcanti, M. Gualtieri

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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

Original language	English
Pages (from-to)	537-557
Number of pages	21
Journal	Bulletin of the Brazilian Mathematical Society
Volume	42
Issue number	4
DOIs	https://doi.org/10.1007/s00574-011-0028-1
Publication status	Published - 2011

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abstract = "We show that the blow-up of a generalized K{\"a}hler 4-manifold in a nondegenerate complex point admits a generalized K{\"a}hler 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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AB - 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

U2 - 10.1007/s00574-011-0028-1

DO - 10.1007/s00574-011-0028-1

M3 - Article

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VL - 42

SP - 537

EP - 557

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

IS - 4

ER -

Blowing up generalized Kähler 4-manifolds

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