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The Nagata automorphism is wild

By Ivan P. Shestakov and Ualbai U. Umirbaev

Abstract

It is proved that the well known Nagata automorphism of the polynomial ring in three variables over a field of characteristic zero is wild, that is, it can not be decomposed into a product of elementary automorphisms

Topics: Physical Sciences
Publisher: National Academy of Sciences
Year: 2003
DOI identifier: 10.1073/pnas.1735483100
OAI identifier: oai:pubmedcentral.nih.gov:240656
Provided by: PubMed Central
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