On a construction of the twistor spaces of Joyce metrics

DOI10.1090/S1056-3911-08-00474-8zbMath1204.32010arXivmath/0603242OpenAlexW2963393290MaRDI QIDQ3528481

Nobuhiro Honda

Publication date: 16 October 2008

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603242

zbMATH Keywords

twistor spacesconstructionJoyce metrics

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28)

Related Items (2)

Moishezon twistor spaces on 4ℂℙ² ⋮ On a construction of the twistor spaces of Joyce metrics. II.

Cites Work

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• Compact self-dual manifolds with torus actions
• Equivariant connected sums of compact self-dual manifolds
• Explicit construction of self-dual 4-manifolds
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Linear field equations on self-dual spaces
• Actions of the Torus on 4-Manifolds. I

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