Open problems in pluripotential theory

By S. Dinew, Vincent Guedj, Ahmed Zeriahi. 2015

53 citations recorded by the source corpus.

We propose a list of open problems in pluripotential theory partially motivated by their applications to complex differential geometry. The list includes both local questions as well as issues related to the compact complex manifold setting.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/89eb72a427b76478bc9bc599c31028c7db7fabbc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Chinh H. Lu
2. Tam'as Darvas
3. E. Di Nezza
4. Chi Li
5. Jingrui Cheng
6. Xiuxiong Chen
7. Robert J. Berman
8. Giovanni Molica Bisci

In Geometry and Topology

1. Chinh H. Lu
2. Tam'as Darvas
3. E. Di Nezza
4. Chi Li
5. Jingrui Cheng
6. Xiuxiong Chen
7. Robert J. Berman
8. B. Berndtsson

In Mathematical Physics

1. Tam'as Darvas
2. E. Di Nezza
3. Chinh H. Lu
4. Giovanni Molica Bisci
5. Enrico Valdinoci
6. Vicentiu D. Rădulescu
7. Binlin Zhang
8. Raffaella Servadei

Citations in the corpus

• On the singularity type of full mass currents in big cohomology classes (2016, background): “6]. In most of the above mentioned works, that study degenerate metrics, finite energy pluripotential theory plays an important role. Partly motivated by this, and partly by a survey of open questions [DGZ15], we will investigate further the finite energy pluripotential theory of big cohomology classe”