2005/09/21 by Robert Rumely, Rumely, Robert
Mathematics · #14G40 (Primary) #31B15 #31C10 (Secondary) #32U20 #32U35 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.CV #msc:14G40 #msc:31B15 #msc:31C10 #msc:32U20 #msc:32U35
paper · pdf · doi:10.48550/arxiv.math/0509500
8 pages
arxiv created 2005/09/21 · openalex publication_date 2005/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.