Newton Numbers and Residual Measures of Plurisubharmonic Functions

Details Newton Numbers and Residual Measures of Plurisubharmonic Functions Newton Numbers and Residual Measures of Plurisubharmonic Functions

1999-05-11

arxiv.org/abs/math/9905062v1

Mathematics

Complex Variables

21 pages, LaTeX

Scientific paper

We study the masses charged by $(dd^cu)^n$ at isolated singularity points of plurisubharmonic functions $u$. It is done by means of the local indicators of plurisubharmonic functions. 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 $u$.

Affiliated with

Also associated with

No associations

Rating

Newton Numbers and Residual Measures of Plurisubharmonic Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Newton Numbers and Residual Measures of Plurisubharmonic Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Newton Numbers and Residual Measures of Plurisubharmonic Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-566791