Twistor lines on cubic surfaces

Authors :: Armstrong, John
Povero, Massimiliano
Salamon, Simon
Source :: Rend. Sem. Mat. Univ. Politec. Torino 71 (2013), no. 3-4, 317-338
Publication Year :: 2012
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.<br />Comment: 22 pages, 6 figs, conf. Geometria delle Varieta' Algebriche, Turin, 2012

Subjects :: Mathematics - Differential Geometry
Mathematics - Algebraic Geometry
53C28, 14N10, 53A30

Database :: arXiv
Journal :: Rend. Sem. Mat. Univ. Politec. Torino 71 (2013), no. 3-4, 317-338
Publication Type :: Report
Accession number :: edsarx.1212.2851
Document Type :: Working Paper

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