Locally pluripolar sets are pluripolar-Reference-Cited by-同舟云学术

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Locally pluripolar sets are pluripolar

Published:2019-12 Issue:13 Volume:30 Page:1950029
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Vu Duc-Viet¹²³^ORCID

Affiliation:

1. Mathematical Institute, University of Cologne, Weyertal 86-90, 50931 Köln, Germany

2. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

3. Thang Long Institute of Mathematics and Applied Sciences, Nghiem Xuan Yem, Hoang Mai, Hanoi, Vietnam

Abstract

We prove that every locally pluripolar set on a compact complex manifold is pluripolar. This extends similar results in the Kähler case.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X19500290

Reference23 articles.

1. Comparison of two capacities in ? n

2. A new capacity for plurisubharmonic functions

3. Fekete points and convergence towards equilibrium measures on complex manifolds

4. On regularization of plurisubharmonic functions on manifolds

5. The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations

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1. Degenerate Complex Monge–Ampère Equations on Some Compact Hermitian Manifolds;The Journal of Geometric Analysis;2024-08-21

2. Lebesgue points of functions in the complex Sobolev space;International Journal of Mathematics;2024-03-13

3. Quasi-plurisubharmonic envelopes 2: Bounds on Monge–Ampère volumes;Algebraic Geometry;2022-11-01

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