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

[1] Volumes of components of Lelong upper level sets II
Su, Shuang
Vu, Duc-Viet
MATHEMATISCHE ANNALEN, 2025,
[2] Volume of Components of Lelong Upper-Level Sets
Do, Duc Thai
Vu, Duc-Viet
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (09)
[3] Volume of Components of Lelong Upper-Level Sets
Duc Thai Do
Duc-Viet Vu
The Journal of Geometric Analysis, 2023, 33
[4] Upper Level Sets of Lelong Numbers on Hirzebruch Surfaces
Kisisel, Ali Ulas Oezguer
Yazici, Ozcan
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (08)
[5] Upper Level Sets of Lelong Numbers on Hirzebruch Surfaces
Ali Ulaş Özgür Kişisel
Ozcan Yazici
The Journal of Geometric Analysis, 2023, 33
[6] Geometric properties of upper level sets of Lelong numbers on projective spaces
Dan Coman
Tuyen Trung Truong
Mathematische Annalen, 2015, 361 : 981 - 994
[7] Geometric properties of upper level sets of Lelong numbers on projective spaces
Coman, Dan
Truong, Tuyen Trung
MATHEMATISCHE ANNALEN, 2015, 361 (3-4) : 981 - 994
[8] A Property of upper level sets of Lelong numbers of currents on P2
Heffers, James J.
INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (14)
[9] Upper level sets of Lelong numbers on P2 and cubic curves
Kisisel, Ali Ulas Ozgur
Yazici, Ozcan
MATHEMATISCHE ZEITSCHRIFT, 2022, 300 (03) : 2917 - 2930
[10] Constructing the Tree of Shapes of an Image by Fusion of the Trees of Connected Components of Upper and Lower Level Sets
Vicent Caselles
Enric Meinhardt
Pascal Monasse
Positivity, 2008, 12 : 55 - 73

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