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

Volume 123 / 2019

Ragnar Sigurdsson, Auðunn Skúta Snæbjarnarson Annales Polonici Mathematici 123 (2019), 481-504 MSC: Primary 32U05; Secondary 32Q28, 32U10, 32W20. DOI: 10.4064/ap181001-1-4 Published online: 5 September 2019

Abstract

We derive formulas for the Monge–Ampère 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 $\mathbb C ^{n+1}$.

Authors

  • Ragnar SigurdssonDepartment of Mathematics
    School of Engineering and Natural Sciences
    University of Iceland
    IS-107 Reykjavík, Iceland
    e-mail
  • Auðunn Skúta SnæbjarnarsonDepartment of Mathematics
    School of Engineering and Natural Sciences
    University of Iceland
    IS-107 Reykjavík, Iceland
    e-mail

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