A structure theorem for neighborhoods of compact complex manifolds

Xianghong Gong; Laurent Stolovitch

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arXiv · 2209.11676

A structure theorem for neighborhoods of compact complex manifolds

Xianghong Gong·Laurent Stolovitch

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Abstract

We construct an injective map from the set of holomorphic equivalence classes of neighborhoods $M$ of a compact complex manifold $C$ into ${\mathbb C}^m$ for some $m<\infty$ when $(TM)|_C$ is fixed and the normal bundle of $C$ in $M$ is either weakly negative or $2$-positive.

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Xianghong Gong, Laurent Stolovitch. 2022-09-23. A structure theorem for neighborhoods of compact complex manifolds. https://arxiv.org/abs/2209.11676

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