Dynamical Aspects of Foliations with Ample Normal Bundle

被引：0

作者：

Adachi, Masanori ^{[1
]}

Brinkschulte, Judith ^{[2
]}

机构：

[1] Shizuoka Univ, Fac Sci, Dept Math, 836 Ohya,Suruga Ku, Shizuoka 4228529, Japan

[2] Univ Leipzig, Math Inst, PF 100920, D-04009 Leipzig, Germany

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2023年 / 72卷 / 05期

关键词：

holomorphic foliation; minimal set; Baum-Bott theory; Atiyah class; L-2 Hodge theory; LEVI-FLAT HYPERSURFACES; CO-HOMOLOGY GROUPS; HOLOMORPHIC FOLIATIONS; REDUCTION THEOREM; KAHLER-MANIFOLDS; NONEXISTENCE; EXTENSION; SPACES; SETS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the following result that was conjectured by Brunella. Let X be a compact complex manifold of dimension >= 3. Let F be a codimension-one holomorphic foliation on X with ample normal bundle. Then, every leaf of F accumulates to the singular set of F.

引用

页码：1931 / 1947

页数：17

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