Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism

Simple item page
dc.creatorKuroda, Shigeru
dc.date2007-12-30
dc.date2008-10-14
dc.date.accessioned2026-07-07T10:09:17Z
dc.date.available2026-07-07T10:09:17Z
dc.descriptionIn 2003, Shestakov-Umirbaev solved Nagata's conjecture on an automorphism of a polynomial ring. In the present paper, we reconstruct their theory by using the "generalized Shestakov-Umirbaev inequality", which was recently given by the author. As a consequence, we obtain a more precise tameness criterion for polynomial automorphisms. In particular, we show that no tame automorphism of a polynomial ring admits a reduction of type IV.
dc.description52 pages
dc.identifierhttps://arxiv.org/abs/0801.0117
dc.identifierhttp://arxiv.org/abs/0801.0117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171272
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject14R10
dc.titleShestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism
dc.typetext

Files

Collections

arXiv