A new series of compact minitwistor spaces and Moishezon twistor spaces over them

DOI10.1515/CRELLE.2010.041zbMath1213.32011arXiv0805.0042OpenAlexW2963634260MaRDI QIDQ3577939

Nobuhiro Honda

Publication date: 13 July 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0042

zbMATH Keywords

minitwistor spacesMoishezon twistor spaces

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28)

Related Items (5)

Twistors, Quartics, and del Pezzo Fibrations ⋮ Minitwistor spaces, Severi varieties, and Einstein-Weyl structure ⋮ On pluri-half-anticanonical systems of LeBrun twistor spaces ⋮ Moishezon twistor spaces on 4ℂℙ² ⋮ On a construction of the twistor spaces of Joyce metrics. II.

Cites Work

• The class \({\mathcal C}\) is not stable by small deformations
• Double solid twistor spaces: the case of arbitrary signature
• On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes
• On deformations of holomorphic maps. III
• Closedness of the Douady spaces of compact Kähler spaces
• Explicit construction of self-dual 4-manifolds
• Minitwistor spaces and Einstein-Weyl spaces
• Kählerian Twistor Spaces
• Flattening Theorem in Complex-Analytic Geometry
• Self-duality in four-dimensional Riemannian geometry

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