Geometric invariant theory and Einstein–Weyl geometry
Copyright policy )Geometric invariant theory and Einstein–Weyl geometry
In this article, we give a survey of Geometric Invariant Theory for Toric Varieties, and present an application to the Einstein-Weyl Geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP_(1,1,2). We also find and classify all possible quotients.
A section on efficiency and classification is added
- Middle East Technical University Turkey
- University of Wisconsin–Madison United States
- University of Wisconsin–Oshkosh United States
Mathematics - Differential Geometry, Mathematics(all), Twistor methods in differential geometry, geometric invariant theory, Toric varieties, Mathematics - Algebraic Geometry, minitwistor space, Differential Geometry (math.DG), Geometric invariant theory, Minitwistor space, FOS: Mathematics, Einstein–Weyl geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Einstein-Weyl geometry, Algebraic Geometry (math.AG), toric varieties, 14M25, 14L24 (Primary) 53C28 (Secondary)
Mathematics - Differential Geometry, Mathematics(all), Twistor methods in differential geometry, geometric invariant theory, Toric varieties, Mathematics - Algebraic Geometry, minitwistor space, Differential Geometry (math.DG), Geometric invariant theory, Minitwistor space, FOS: Mathematics, Einstein–Weyl geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Einstein-Weyl geometry, Algebraic Geometry (math.AG), toric varieties, 14M25, 14L24 (Primary) 53C28 (Secondary)
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