Monge–Ampère measures of plurisubharmonic exhaustions associated to the Lie norm of holomorphic maps
Volume 123 / 2019
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 , 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}.