Geometric invariant theory and Einstein-Weyl geometry


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Kalafat M.

EXPOSITIONES MATHEMATICAE, cilt.29, ss.220-230, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 29 Konu: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.exmath.2011.01.002
  • Dergi Adı: EXPOSITIONES MATHEMATICAE
  • Sayfa Sayıları: ss.220-230

Özet

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.