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

• Autorzy: Arno van den Essen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14E07: Birational automorphisms, Cremona group and generalizations
• 14R10: Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 2
• Strony: 181-194

Daty

wydano

2004

Twórcy

autor

Arno van den Essen

• Department of Mathematics, Postbus 9010, 6500 GL Nijmegen, The Netherlands

Identyfikatory

DOI

10.4064/cm100-2-3