附于全纯凸集的有边复曲线的Stein邻域

IF 0.8 4区数学 Q2 MATHEMATICS Arkiv for Matematik Pub Date : 2021-04-19 DOI:10.4310/ARKIV.2022.v60.n2.a6

F. Forstnerič

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摘要

本文在复空间中构造了形式为A∪K的紧集的开Stein邻域，其中K是紧全纯凸集，A是一类边界为bA的紧复曲线，它可以与K相交，且集合A∩K为O (A)凸。

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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Stein neighbourhoods of bordered complex curves attached to holomorphically convex sets

In this paper, we construct open Stein neighbourhoods of compact sets of the form A ∪ K in a complex space, where K is a compact holomorphically convex set, A is a compact complex curve with boundary bA of class C 2 which may intersect K , and the set A ∩ K is O ( A ) -convex.

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