The Nagata automorphism is wild
- †Instituto de Matemática e Estatistica, Universidade de São Paulo, Caixa Postal 66281, São Paulo, SP 05311-970, Brazil; and §Department of Mathematics, Eurasian National University, Astana, 473021, Kazakhstan
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Communicated by Efim I. Zelmanov, University of California at San Diego, La Jolla, CA, August 26, 2003 (received for review April 20, 2002)
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.
Footnotes
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↵ ‡ To whom correspondence should be addressed. E-mail: shestak{at}ime.usp.br.
- Copyright © 2003, The National Academy of Sciences
