Completeness is determined by any non-algebraic trajectory
Complex Variables
2014-09-03 v1 Algebraic Geometry
Dynamical Systems
Abstract
It is proved that any polynomial vector field in two complex variables which is complete on a non-algebraic trajectory is complete.
Keywords
Cite
@article{arxiv.1205.3815,
title = {Completeness is determined by any non-algebraic trajectory},
author = {Alvaro Bustinduy and Luis Giraldo},
journal= {arXiv preprint arXiv:1205.3815},
year = {2014}
}
Comments
20 pages. To appear in Advances in Mathematics