Twistor fibers in hypersurfaces of the flag threefold

arXiv2301.04874MaRDI QIDQ6120508

Edoardo Ballico, Amedeo Altavilla, Maria Chiara Brambilla

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.04874

zbMATH Keywords

surfacesbidegreetwistor projectionflag threefoldtwistor fiber

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Grassmannians, Schubert varieties, flag manifolds (14M15) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Homogeneous complex manifolds (32M10) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Cites Work

• Unnamed Item
• Twistor transforms of quaternionic functions and orthogonal complex structures
• Orthogonal complex structures on domains in \(\mathbb R^4\)
• Complex structures on Riemannian four-manifolds
• Twistor lines on algebraic surfaces
• Twistor geometry of the flag manifold
• Twistors and bi-Hermitian surfaces of non-Kähler type
• Slice-polynomial functions and twistor geometry of ruled surfaces in \(\mathbb {CP}^3\)
• Surfaces in the flag threefold containing smooth conics and twistor fibers
• Kählerian Twistor Spaces
• Orthogonal complex structures in $\mathbb{R}^4$

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