On pluri-half-anticanonical systems of LeBrun twistor spaces

DOI10.1090/S0002-9939-09-10207-1zbMath1205.32019arXiv0906.3907OpenAlexW2088866530MaRDI QIDQ3566667

Nobuhiro Honda

Publication date: 8 June 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3907

zbMATH Keywords

LeBrun twistor spacessingularities of rational curves

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28) Singularities of curves, local rings (14H20)

Related Items (2)

Monopole metrics and the orbifold Yamabe problem ⋮ Moishezon twistor spaces on 4ℂℙ²

Cites Work

• On the algebraic structure of twistor spaces
• Explicit construction of new Moishezon twistor spaces
• Double solid twistor spaces: the case of arbitrary signature
• Compact self-dual manifolds with positive scalar curvature
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• A new series of compact minitwistor spaces and Moishezon twistor spaces over them
• Classification of Twistor Spaces with a Pencil of Surfaces of Degree 1, Part I
• Self-duality in four-dimensional Riemannian geometry
• Self-Duality and Differentiable Structures on the Connected Sum of Complex Projective Planes

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