Blowing up generalized Kahler 4-manifolds

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.

16 pages

References in corpus (4)

• Instantons, Poisson structures and generalized Kaehler geometry
• Generalized Kahler geometry
• Blow-up of generalized complex 4-manifolds
• Deformations of Generalized Kahler Structures and Bihermitian Structures

Cited by in corpus (4)

• Generalized Kähler almost abelian Lie groups
• Twistors and Bi-Hermitian Surfaces of Non-Kähler Type
• Complex Dirac structures: invariants and local structure
• Blow-up formulae for twisted cohomologies with supports