Geometric Invariant Theory and Einstein-Weyl Geometry

Details Geometric Invariant Theory and Einstein-Weyl Geometry Geometric Invariant Theory and Einstein-Weyl Geometry

2006-11-24

arxiv.org/abs/math/0611771v3

Expo. Math. 29, No. 2, 220-230 (2011)

Mathematics

Algebraic Geometry

A section on efficiency and classification is added

Scientific paper

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.

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