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

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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. 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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