Twistor lines on cubic surfaces

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.

22 pages, 6 figs, conf. Geometria delle Varieta' Algebriche, Turin, 2012

References in corpus (1)

• Twistor transforms of quaternionic functions and orthogonal complex structures

Cited by in corpus (6)

• Twistor interpretation of slice regular functions
• Twistor Topology of the Fermat Cubic
• Algebraic surfaces with infinitely many twistor lines
• The twistor discriminant locus of the Fermat cubic
• Three Topological Results on the Twistor Discriminant Locus in the 4-Sphere
• Surveying points in the complex projective plane