# Algebraic surfaces with infinitely many twistor lines

created by altavilla on 11 Mar 2019

[BibTeX]

preprint

Inserted: 11 mar 2019
Last Updated: 11 mar 2019

Year: 2019

ArXiv: 1902.00010 PDF

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.

Credits | Cookie policy | HTML 5 | CSS 2.1