Monge-Amp\`ere measures of plurisubharmonic exhaustions associated to the Lie norm of holomorphic maps

Autor: Sigurdsson, Ragnar, Snaebjarnarson, Audunn Skuta
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we derive formulas for the Monge-Amp\`ere measures of functions of the form $\log|\Phi|_c$, where $\Phi$ is a holomorphic map on a complex manifold $X$ of dimension $n$ with values in $\mathbb{C}^{n+1}\setminus\{0\}$ and $|\cdot|_c$ is the Lie norm on $\mathbb{C}^{n+1}$.
Databáze: arXiv