On compact sets possessing q-convex functions

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2025-10-14 DOI:10.1007/s10231-025-01619-3

Thomas Pawlaschyk, Nikolay Shcherbina

引用次数: 0

Abstract

We show that there exists a q-convex function in a neighborhood of a compact set K in a complex manifold \(\mathcal {M}\) if and only if the q-nucleus of this compact set is empty. The latter can be characterized as the maximal q-pseudoconcave subset of K, i.e., a subset of K containing all other compact q-pseudoconcave subsets in K.

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在具有q-凸函数的紧集上

证明了复流形\(\mathcal {M}\)中紧集K的邻域中存在一个q-凸函数，当且仅当该紧集的q核为空。后者可以表征为K的极大q-伪凹子集，即K的一个子集包含K中所有其他紧q-伪凹子集。

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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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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