Transfinite diameter and the resultant

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dc.creatorDeMarco, Laura
dc.creatorRumely, Robert
dc.date2006-01-05
dc.date.accessioned2026-07-07T06:58:34Z
dc.date.available2026-07-07T06:58:34Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0601109
dc.identifierhttp://arxiv.org/abs/math/0601109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107409
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37F10, 31B15, 14G40
dc.titleTransfinite diameter and the resultant
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