Higher Singularities and the Twistor Fibration π: CP3 → S4

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• 作者：Bolton ; John ; Woodward ; Lyndon M.
• 关键词：superminimal map ; twistor lift ; directrix curve ; singular point ; Klein correspondence
• 刊名：Geometriae Dedicata
• 出版年：2000
• 出版时间：2000
• 年：2000
• 卷：80
• 期：1/3
• 页码：231-246
• 全文大小：146 KB

文摘

We use the Klein correspondences to write down an explicit relationship between two holomorphic curves, namely the directrix curve and the twistor lift, associated to a superminimal map from a Riemann surface to the 4-sphere. We also explain how the singularities of the corresponding osculating curves are related and show that they occur at the branch points or the umbilics of the corresponding superminimal map.