论$q$完整域边界的连通性

arXiv - MATH - Complex Variables Pub Date : 2024-07-16 DOI:arxiv-2407.11897

Rafael B. Andrist

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引用次数: 0

摘要

维数至少为 2 的复流形中每个相对紧凑的斯坦因域的边界都是连通的。无需对边界规则性做任何假设。同样的证明也适用于 $q$ 完全域，以及几乎复流形。

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 the connectedness of the boundary of $q$-complete domains

The boundary of every relatively compact Stein domain in a complex manifold of dimension at least two is connected. No assumptions on the boundary regularity are necessary. The same proofs hold also for $q$-complete domains, and in the context of almost complex manifolds as well.

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arXiv - MATH - Complex Variables

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