Weighted Bergman spaces on locally pseudoconvex domains

Takeo Ohsawa (Nagoya U)

Nov 22. 2023, 09:00 — 09:50

In 2022, I published a paper with the following abstract.

It is proved that a bounded C^2-smooth pseudoconvex domain $\Omega$ in a K\"ahler manifold $M$ can be mapped onto a locally closed analytic set in $\mathbb{C}^N$ holomorphically and properly with connected fibers if the canonical bundle of $M$ is negative on a neighborhood of $\partial\Omega$. A similar result is obtained for Zariski open domains in compact manifolds.

The purpose of my talk is to give a survey on the results closely related to this paper.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Analysis and Geometry in Several Complex Variables (Workshop)
Peter Ebenfelt (UC San Diego)
Purvi Gupta (IIS Bengalore)
Bernhard Lamel (U of Vienna)
Nordine Mir (Texas A&M U at Qatar)