A Structure Theorem for Neighborhoods of Compact Complex Manifolds

被引：1

作者：

Gong, Xianghong ^{[1
]}

Stolovitch, Laurent ^{[2
,3
]}

机构：

[1] Univ Wisconsin Madison, Dept Math, Madison, WI 53706 USA

[2] Univ Cote Azur, CNRS, Parc Valrose, F-06108 Nice 02, France

[3] Univ Cote Azur, Lab J A Dieudonne, UMR 7351, Parc Valrose, F-06108 Nice 02, France

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2024年 / 34卷 / 05期

关键词：

Normal forms; Neighborhoods of complex manifolds; Weakly negative or positive normal bundles; Foliations; EQUIVALENCE; CLASSIFICATION; SINGULARITIES; FIBRATIONS; EMBEDDINGS;

D O I：

10.1007/s12220-024-01582-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页数：30

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