Bergman Kernel on Non-compact Manifolds.

Autor: Bass, H., Oesterlé, J., Weinstein, A., Xiaonan Ma, Marinescu, George
Zdroj: Holomorphic Morse Inequalities & Bergman Kernels; 2007, p271-294, 24p
Abstrakt: We show in Section 6.1 that the asymptotic expansion of the Bergman kernel still holds on compact sets of certain non-compact complete manifolds. In this way we can obtain another proof of some of the holomorphic Morse inequalities. As a corollary, we re-prove the Shiffman-Ji-Bonavero-Takayama criterion for Moishezon manifolds in Section 6.2. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index