A parachute for the degree of a polynomial in algebraically independent ones

dc.creatorVénéreau, Stéphane
dc.date2007-04-12
dc.date2007-05-07
dc.date.accessioned2026-07-07T07:59:27Z
dc.date.available2026-07-07T07:59:27Z
dc.descriptionWe give a simpler proof as well as a generalization of the main result of an article of Shestakov and Umirbaev. This latter article being the first of two that solve a long-standing conjecture about the non-tameness, or "wildness", of Nagata's automorphism. As corollaries we get interesting informations about the leading terms of polynomials forming an automorphism in any dimension and reprove the tameness of automorphisms in dimension two.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0704.1561
dc.identifierhttp://arxiv.org/abs/0704.1561
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128371
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13F20;13P10;14R10
dc.titleA parachute for the degree of a polynomial in algebraically independent ones
dc.typetext

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