Twistor lines on cubic surfaces
Differential Geometry
2015-06-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1212.2851,
title = {Twistor lines on cubic surfaces},
author = {John Armstrong and Massimiliano Povero and Simon Salamon},
journal= {arXiv preprint arXiv:1212.2851},
year = {2015}
}
Comments
22 pages, 6 figs, conf. Geometria delle Varieta' Algebriche, Turin, 2012