Open problems in pluripotential theory
Slawomir Dinew, Vincent Guedj, Ahmed Zeriahi
TL;DR
This paper presents a curated list of open problems in pluripotential theory, highlighting their significance in complex differential geometry and addressing both local and global issues on compact complex manifolds.
Contribution
It introduces a comprehensive set of open questions in pluripotential theory motivated by applications to complex geometry, guiding future research directions.
Findings
Identification of key open problems in pluripotential theory
Connections established between pluripotential theory and complex differential geometry
Framework for addressing local and global issues in complex manifolds
Abstract
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.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Algebra and Geometry