A Robin formula for the Fekete-Leja transfinite diameter

Details A Robin formula for the Fekete-Leja transfinite diameter A Robin formula for the Fekete-Leja transfinite diameter

2005-09-21

arxiv.org/abs/math/0509500v1

Mathematics

Complex Variables

8 pages

Scientific paper

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.

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