This article is cited in 5 papers

Twistor Topology of the Fermat Cubic

John Armstrong, Simon Salamon

Department of Mathematics, King’s College London, Strand, London WC2R 2LS, UK

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 ${\mathbb{CP}}^3 \longrightarrow S^4$.

Keywords: discriminant locus; Fermat cubic; twistor fibration.

MSC: 53C28; 14N10; 57M20

Received: November 6, 2013; in final form May 26, 2014; Published online June 6, 2014

Language: English

DOI: 10.3842/SIGMA.2014.061

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ArXiv: 1310.7150