Geodesic
Newton numbers and residual measures of plurisubharmonic functions
Annales Polonici Mathematici, Tome 75 (2000) no. 3, pp. 213-231

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the masses charged by $(dd^cu)^n$ 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.
DOI : 10.4064/ap-75-3-213-231
Keywords: Monge-Ampère operator, local indicator, directional Lelong number, plurisubharmonic function, Newton polyhedron

Alexander Rashkovskii 1

1 
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Alexander Rashkovskii. Newton numbers and residual measures of plurisubharmonic functions. Annales Polonici Mathematici, Tome 75 (2000) no. 3, pp. 213-231. doi: 10.4064/ap-75-3-213-231

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