Volumes of components of Lelong upper level sets IIVolumes of components of Lelong upper level sets IIS. Su, D.-V. Vu

被引：0

作者：

Shuang Su ^{[1
]}

Duc-Viet Vu ^{[1
]}

机构：

[1] University of Cologne,Division of Mathematics, Department of Mathematics and Computer Science

来源：

Mathematische Annalen | 2025年 / 391卷 / 4期

关键词：

32U15; 32Q15;

D O I：

10.1007/s00208-024-03079-1

中图分类号：

学科分类号：

摘要：

Let X be a compact Kähler manifold of dimension n, and let T be a closed positive (1, 1)-current in a nef cohomology class on X. We establish an optimal upper bound for the volume of components of Lelong upper level sets of T in terms of cohomology classes of non-pluripolar self-products of T.

引用

页码：6451 / 6465

页数：14

共 12 条

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POSITIVITY, 2008, 12 (01) : 55 - 73
[12] Upper level sets of Lelong numbers on P2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb P^2$$\end{document} and cubic curves
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Mathematische Zeitschrift, 2022, 300 (3) : 2917 - 2930

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