紧Kähler流形中具有解析补的伪凸域的注释

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2007-01-01 DOI:10.1215/KJM/1250281070

T. Ohsawa

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引用次数: 15

摘要

对于维数≥3的紧化K¨ahler流形M中具有支撑点B的有效因子A，下列是反律的。a) M \ B具有一个C∞多次调和耗尽函数，其Levi形式在M \ B的紧子集外点方向上至少有3个正特征值。b) [A] | A的正规束b是拓扑平凡的。

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A remark on pseudoconvex domains with analytic complements in compact Kähler manifolds

For an eﬀective divisor A with support B in a compact K¨ahler manifold M of dimension ≥ 3, the following are antinomic. a) M \ B has a C ∞ plurisubharmonic exhaustion function whose Levi form has pointwise at least 3 positive eigenvalues outside a compact subset of M \ B . b) [ A ] | B , the normal bundle of A , is topologically trivial.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.