关于内嵌复杂环的邻域

IF 1.3 2区数学 Q1 MATHEMATICS

Mathematische Annalen Pub Date : 2024-09-03 DOI:10.1007/s00208-024-02975-w

Xianghong Gong, Laurent Stolovitch

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引用次数: 0

摘要

文章的目的是证明，一个嵌入维数为\(n+d\)的复流形中的n维复环有一个分裂的切线束，只要后者有局部恒定和可对角的过渡函数，并满足一个非共振的狄奥芬条件，那么它就有一个与其法线束中零段邻域双全形的邻域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On neighborhoods of embedded complex tori

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 a neighborhood biholomorphic to a neighborhood of the zero section in its normal bundle, provided the latter has locally constant and diagonalizable transition functions and satisfies a non-resonant Diophantine condition.

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来源期刊

Mathematische Annalen 数学-数学

CiteScore

2.90

自引率

7.10%

发文量

181

审稿时长

4-8 weeks

期刊介绍： Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.