Geometric invariant theory and Einstein-Weyl geometry

Creative Commons License

Kalafat M.

EXPOSITIONES MATHEMATICAE, vol.29, no.2, pp.220-230, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.1016/j.exmath.2011.01.002
  • Journal Name: EXPOSITIONES MATHEMATICAE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.220-230
  • Middle East Technical University Affiliated: No

Abstract

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.