Twistor lines on cubic surfaces

John Armstrong, Massimiliano Povero, Simon Salamon

Research output: Working paper/PreprintPreprint

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Abstract

It is shown that there exist non-singular cubic surfaces in CP^3 containing 5 twistor lines. This is the maximum number of twistor fibres that a non-singular cubic can contain. Cubic surfaces in CP^3 with 5 twistor lines are classified up to transformations preserving the conformal structure of S^4.
Original languageEnglish
Place of PublicationN/A
PublisherarXiv
PagesN/A
Number of pages22
VolumeN/A
ISBN (Print)N/A
Publication statusE-pub ahead of print - 12 Dec 2012

Keywords

  • math.DG
  • math.AG
  • 53C28, 14N10, 53A30

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