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The Nagata automorphism is wild

By Ivan P. Shestakov and Ualbai U. Umirbaev


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
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Provided by: PubMed Central
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