# Newton numbers and residual measures of plurisubharmonic functions

Annales Polonici Mathematici (2000)

- Volume: 75, Issue: 3, page 213-231
- ISSN: 0066-2216

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topRashkovskii, Alexander. "Newton numbers and residual measures of plurisubharmonic functions." Annales Polonici Mathematici 75.3 (2000): 213-231. <http://eudml.org/doc/208396>.

@article{Rashkovskii2000,

abstract = {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.},

author = {Rashkovskii, Alexander},

journal = {Annales Polonici Mathematici},

keywords = {Monge-Ampère operator; local indicator; directional Lelong number; plurisubharmonic function; Newton polyhedron},

language = {eng},

number = {3},

pages = {213-231},

title = {Newton numbers and residual measures of plurisubharmonic functions},

url = {http://eudml.org/doc/208396},

volume = {75},

year = {2000},

}

TY - JOUR

AU - Rashkovskii, Alexander

TI - Newton numbers and residual measures of plurisubharmonic functions

JO - Annales Polonici Mathematici

PY - 2000

VL - 75

IS - 3

SP - 213

EP - 231

AB - 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.

LA - eng

KW - Monge-Ampère operator; local indicator; directional Lelong number; plurisubharmonic function; Newton polyhedron

UR - http://eudml.org/doc/208396

ER -

## References

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