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arXiv · 1902.00010

Algebraic surfaces with infinitely many twistor lines

Amedeo Altavilla·Edoardo Ballico
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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 normalization map of a surface, we give constructive existence results for even degrees.

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Amedeo Altavilla, Edoardo Ballico. 2019-01-31. Algebraic surfaces with infinitely many twistor lines. https://doi.org/10.1017/s0004972719000534

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