2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94778This 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.8 pagesComplex Variables32U35, 32U20, 14G40 (Primary), 31B15, 31C10 (Secondary)text