Palais leaf-space manifolds and surfaces carrying holomorphic flows
Classical Analysis and ODEs
2019-03-27 v2 Complex Variables
Dynamical Systems
Abstract
Starting from some remarkable singularities of holomorphic vector fields, we construct (open) complex surfaces over which the singularities in question are realized by complete vector fields. Our constructions lead to manifolds and vector fields beyond the algebraic setting and provide examples of complete vector fields with some new dynamical phenomena.
Keywords
Cite
@article{arxiv.1810.07295,
title = {Palais leaf-space manifolds and surfaces carrying holomorphic flows},
author = {Ana Cristina Ferreira and Julio C. Rebelo and Helena Reis},
journal= {arXiv preprint arXiv:1810.07295},
year = {2019}
}
Comments
to appear in Moscow Mathematical Journal