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ALGEBRAIC SURFACES WITH INFINITELY MANY TWISTOR LINES
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 101 / Issue 1 / February 2020
- Published online by Cambridge University Press:
- 24 May 2019, pp. 61-70
- Print publication:
- February 2020
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- Article
- Export citation
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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.
