2006/01/05 by Laura DeMarco, DeMarco, Laura, Robert Rumely +1
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.CV #math.DS #math.NT #msc:14G40 #msc:31B15 #msc:37F10
paper · pdf · doi:10.48550/arxiv.math/0601109
arxiv created 2006/01/05 · arxiv updated 2009/12/01
We prove a formula for the Fekete-Leja transfinite diameter of the pullback of a set E in CN 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.