Geometric invariant theory and Einstein-Weyl geometry

DOI10.1016/j.exmath.2011.01.002zbMath1250.14034arXivmath/0611771OpenAlexW2118920935MaRDI QIDQ534170

Mustafa Kalafat

Publication date: 17 May 2011

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611771

zbMATH Keywords

toric varietiesgeometric invariant theoryEinstein-Weyl geometryminitwistor space

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Geometric invariant theory (14L24) Twistor methods in differential geometry (53C28)

Related Items

Homogeneous 4-dimensional Kähler-Weyl structures ⋮ Addendum to: ``Geometric invariant theory and Einstein-Weyl geometry ⋮ (para)-Kähler Weyl Structures

Cites Work

• New examples of compact minitwistor spaces and their moduli space
• Self-dual metrics and twenty-eight bitangents
• Monopoles and geodesics
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Minitwistor spaces and Einstein-Weyl spaces
• Self-duality in four-dimensional Riemannian geometry
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