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arXiv · 1212.2851

Twistor lines on cubic surfaces

John Armstrong·Massimiliano Povero·Simon Salamon
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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.

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John Armstrong, Massimiliano Povero, Simon Salamon. 2012-12-12. Twistor lines on cubic surfaces. https://arxiv.org/abs/1212.2851

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