We study the masses charged by at isolated singularity points of plurisubharmonic functions u. This is done by means of the local indicators of plurisubharmonic functions introduced in [15]. As a consequence, bounds for the masses are obtained in terms of the directional Lelong numbers of u, and the notion of the Newton number for a holomorphic mapping is extended to arbitrary plurisubharmonic functions. We also describe the local indicator of u as the logarithmic tangent to u.
@article{bwmeta1.element.bwnjournal-article-apmv75z3p213bwm,
author = {Rashkovskii, Alexander},
title = {Newton numbers and residual measures of plurisubharmonic functions},
journal = {Annales Polonici Mathematici},
volume = {75},
year = {2000},
pages = {213-231},
zbl = {0966.32022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv75z3p213bwm}
}
Rashkovskii, Alexander. Newton numbers and residual measures of plurisubharmonic functions. Annales Polonici Mathematici, Tome 75 (2000) pp. 213-231. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv75z3p213bwm/
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