English

Ueda foliation problem for complex tori

Complex Variables 2024-03-27 v1 Dynamical Systems

Abstract

We consider an embedded general complex torus CnC_n into a complex manifold Mn+dM_{n+d} with a unitary flat normal bundle NCN_C. We show the existence of (non-singular) holomorphic foliation in a neighborhood of CC in MM having CC as leaf under some conditions.

Keywords

Cite

@article{arxiv.2403.17682,
  title  = {Ueda foliation problem for complex tori},
  author = {Laurent Stolovitch and Xiaojun Wu},
  journal= {arXiv preprint arXiv:2403.17682},
  year   = {2024}
}
R2 v1 2026-06-28T15:34:08.993Z