The trace operator of quasi-plurisubharmonic functions on compact Kähler manifolds
Tamas Darvás, University of Maryland
Abstract: We introduce the trace operator for quasi-plurisubharmonic functions on compact Kahler manifolds, allowing us 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 (joint work with Mingchen Xia).
