English

A Robin formula for the Fekete-Leja transfinite diameter

Complex Variables 2007-05-23 v1

Abstract

This note gives a higher-dimensional generalization of the classical formula cap(K) = exp(-V(E)) expressing the logarithmic capacity in terms of the residue at infinity of its Green's function. The proof uses arithmetic intersection theory.

Cite

@article{arxiv.math/0509500,
  title  = {A Robin formula for the Fekete-Leja transfinite diameter},
  author = {Robert Rumely},
  journal= {arXiv preprint arXiv:math/0509500},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T17:24:48.949Z