Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A. Altavilla - E. Ballico

Algebraic surfaces with infinitely many twistor lines

created by altavilla on 11 Mar 2019



Inserted: 11 mar 2019
Last Updated: 11 mar 2019

Year: 2019

ArXiv: 1902.00010 PDF


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.

Tags: SIR2014-AnHyC

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