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The Nagata automorphism is wild.
Shestakov IP, Umirbaev UU. Shestakov IP, et al. Among authors: umirbaev uu. Proc Natl Acad Sci U S A. 2003 Oct 28;100(22):12561-3. doi: 10.1073/pnas.1735483100. Epub 2003 Oct 20. Proc Natl Acad Sci U S A. 2003. PMID: 14569020 Free PMC article.
The strong Nagata conjecture.
Umirbaev UU, Yu JT. Umirbaev UU, et al. Proc Natl Acad Sci U S A. 2004 Mar 30;101(13):4352-5. doi: 10.1073/pnas.0308157101. Epub 2004 Mar 16. Proc Natl Acad Sci U S A. 2004. PMID: 15070721 Free PMC article.