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In this paper we derive formulas for the Monge-Ampere 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 $\mathbb{C}^{n+1}$.

Monge–Ampère measures of plurisubharmonic exhaustions associated to the Lie norm of holomorphic maps