On neighborhoods of embedded complex tori
Algebraic Geometry
2022-06-15 v1 Complex Variables
Dynamical Systems
Abstract
The goal of the article is to show that an n-dimensional complex torus embedded in a complex manifold of dimensional n+d, with a split tangent bundle, has neighborhood biholomorphic a neighborhood of the zero section in its normal bundle, provided the latter has (locally constant) Hermitian transition functions and satisfies a non-resonant Diophantine condition.
Keywords
Cite
@article{arxiv.2206.06842,
title = {On neighborhoods of embedded complex tori},
author = {Xianghong Gong and Laurent Stolovitch},
journal= {arXiv preprint arXiv:2206.06842},
year = {2022}
}