2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107409We prove a formula for the Fekete-Leja transfinite diameter of the pullback of a set E in C^N by a regular polynomial map F, expressing it in terms of the resultant of the leading part of F and the transfinite diameter of E. We also establish the nonarchimedean analogue of this formula. A key step in the proof is a formula for the transfinite diameter of the filled Julia set of F.Complex VariablesDynamical SystemsNumber Theory37F10, 31B15, 14G40text