Complex planar curves homeomorphic to a line have at most four singular points
Algebraic Geometry
2020-03-17 v2 Algebraic Topology
Complex Variables
Abstract
We show that a complex planar curve homeomorphic to the projective line has at most four singular points. If it has exactly four then it has degree five and is unique up to a projective equivalence.
Keywords
Cite
@article{arxiv.1905.11376,
title = {Complex planar curves homeomorphic to a line have at most four singular points},
author = {Mariusz Koras and Karol Palka},
journal= {arXiv preprint arXiv:1905.11376},
year = {2020}
}
Comments
35 pages