Twistor lines on cubic surfaces
classification
🧮 math.DG
math.AG
keywords
cubictwistorlinessurfacesnon-singularclassifiedconformalcontain
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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.
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