### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 061, 12 pages      arXiv:1310.7150      https://doi.org/10.3842/SIGMA.2014.061
Contribution to the Special Issue on Progress in Twistor Theory

### Twistor Topology of the Fermat Cubic

John Armstrong and Simon Salamon
Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK

Received November 06, 2013, in final form May 26, 2014; Published online June 06, 2014

Abstract
We describe topologically the discriminant locus of a smooth cubic surface in the complex projective space ${\mathbb{CP}}^3$ that contains $5$ fibres of the projection ${\mathbb{CP}}^3 \longrightarrow S^4$.

Key words: discriminant locus; Fermat cubic; twistor fibration.

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References

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