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The solution of the Tame Generators Conjecture according to Shestakov and Umirbaev

Tom 100 / 2004

Arno van den Essen Colloquium Mathematicum 100 (2004), 181-194 MSC: 14R10, 14E07. DOI: 10.4064/cm100-2-3

Streszczenie

The tame generators problem asked if every invertible polynomial map is tame, i.e. a finite composition of so-called elementary maps. Recently in [8] it was shown that the classical Nagata automorphism in dimension 3 is not tame. The proof is long and very technical. The aim of this paper is to present the main ideas of that proof.

Autorzy

  • Arno van den EssenDepartment of Mathematics
    Postbus 9010
    6500 GL Nijmegen
    The Netherlands
    e-mail

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