%0 Journal Article %T Twistor lines on cubic surfaces %A John Armstrong %A Massimiliano Povero %A Simon Salamon %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1212.2851v1