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The trace operator of quasi-plurisubharmonic functions on compact K\'ahler manifolds
- Publication Year :
- 2024
-
Abstract
- We introduce the trace operator for quasi-plurisubharmonic functions on compact K\"ahler manifolds, allowing to study the singularities of such functions along submanifolds where their generic Lelong numbers vanish. Using this construction we obtain novel Ohsawa--Takegoshi extension theorems and give applications to restricted volumes of big line bundles.<br />Comment: v.1 comments welcome
- Subjects :
- Mathematics - Differential Geometry
Mathematics - Complex Variables
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.08259
- Document Type :
- Working Paper