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ISSN 1088-6834(e) ISSN 0894-0347(p)

Twistors, Kähler manifolds, and bimeromorphic geometry. I

Author(s): Claude LeBrun
Journal: J. Amer. Math. Soc. 5 (1992), 289-316.
MSC: Primary 32J27; Secondary 32G05, 32J17, 32L25, 53C55
Part II: J. Amer. Math. Soc. 5 (1992), 317-325
MathSciNet review: 1137098
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Abstract: By considering deformations of the Moishezon twistor spaces of $\mathbb{C}{\mathbb{P}_2}\char93 \cdot \cdot \cdot \char93 \mathbb{C}{\mathbb{P}_2}$ constructed in [20], we show that the blow up of ${\mathbb{C}^2}$ at points in general position admits an asymptotically flat scalar-flat Kähler metric in each Kähler class, at least provided that the given points are nearly collinear.

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