Abstract
We prove that a reduced and irreducible algebraic surface in $\mathbb{CP}^{3}$ containing infinitely many twistor lines cannot have odd degree. Then, exploiting the theory of quaternionic slice regularity and the normalisation map of a surface, we give constructive existence results for even degrees.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Twistor geometry of the Flag manifold;Mathematische Zeitschrift;2022-12-16
2. Surfaces in the Flag Threefold Containing Smooth Conics and Twistor Fibers;Mediterranean Journal of Mathematics;2022-11-10
3. Applications;Springer Monographs in Mathematics;2022