The openness conjecture for plurisubharmonic functions
Bo Berndtsson
TL;DR
This paper proves the openness conjecture for plurisubharmonic functions, confirming a long-standing hypothesis in complex analysis and pluripotential theory.
Contribution
It provides a rigorous proof of the openness conjecture, advancing understanding of the behavior of plurisubharmonic functions.
Findings
Confirmed the openness conjecture for plurisubharmonic functions
Established new techniques in complex analysis
Resolved a key open problem in pluripotential theory
Abstract
We give a proof of the openness conjecture of Demailly and Koll\'ar.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory