On neighborhoods of embedded complex tori

Xianghong Gong; Laurent Stolovitch

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arXiv · 2206.06842

On neighborhoods of embedded complex tori

Xianghong Gong·Laurent Stolovitch

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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.

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Xianghong Gong, Laurent Stolovitch. 2022-06-14. On neighborhoods of embedded complex tori. https://arxiv.org/abs/2206.06842

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