Approximation of plurisubharmonic functions on complex varieties
Nguyen Quang Dieu, Tang Van Long, Sanphet Ounheuan
TL;DR
This paper establishes conditions under which negative plurisubharmonic functions on complex varieties can be approximated pointwise by continuous plurisubharmonic functions, advancing understanding in complex analysis.
Contribution
It provides new sufficient conditions for the approximation of negative plurisubharmonic functions on complex varieties by continuous ones.
Findings
Identifies conditions for pointwise approximation
Extends approximation theory in complex analysis
Enhances understanding of plurisubharmonic functions
Abstract
We prove some results which give sufficient conditions so that pointwise approximation of negative plurisubharmonic functions on complex varieties by continuous plurisubharmonic ones is possible.
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 · Holomorphic and Operator Theory · Meromorphic and Entire Functions