Geometric invariant theory and Einstein-Weyl geometry

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Kalafat M.

EXPOSITIONES MATHEMATICAE, cilt.29, sa.2, ss.220-230, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.exmath.2011.01.002
  • Dergi Adı: EXPOSITIONES MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.220-230
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

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.