Cone of Maximal Subextensions of the Plurisubharmonic Functions

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2023-08-05 DOI:10.1007/s40306-023-00509-1

Le Mau Hai, Pham Hoang Hiep, Trinh Tung

引用次数: 0

Abstract

In this note, we give some results on maximal subextensions of plurisubharmonic functions on hyperconvex domains in \(\mathbb C^n\) and introduce the notion about cone of maximal subextensions of plurisubharmonic functions. Furthermore, we establish the invariant of this cone through proper holomorphic surjections.

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多次调和函数的极大子扩展锥

在本注释中，我们给出了一些关于在 \(\mathbb C^n\) 中超凸域上的复次谐函数最大子扩展的结果，并引入了关于复次谐函数最大子扩展锥的概念。此外，我们通过适当的全态射影建立了这个锥的不变性。

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

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.