Geometric invariant theory and Einstein-Weyl geometry

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2011-01-01

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Kalafat, Mustafa

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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. (C) 2011 Published by Elsevier GmbH.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/64334

Journal

EXPOSITIONES MATHEMATICAE

DOI

https://doi.org/10.1016/j.exmath.2011.01.002

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Department of Mathematics, Article

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Citation Formats

M. Kalafat, “Geometric invariant theory and Einstein-Weyl geometry,” EXPOSITIONES MATHEMATICAE, pp. 220–230, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64334.