Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism

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概要

• 論文の詳細を見る

• In 2003, Shestakov-Umirbaev solved Nagata's conjecture on an automorphism of a polynomial ring. In the present paper, we reconstruct their theory by using the "generalized Shestakov-Umirbaev inequality", which was recently given by the author. As a consequence, we obtain a more precise tameness criterion for polynomial automorphisms. In particular, we deduce that no tame automorphism of a polynomial ring admits a reduction of type IV.

• 東北大学の論文

著者

• Kuroda Shigeru

  Department Of Electrical Engineering School Of Science And Engineering Waseda University:(present Ad

• Kuroda Shigeru

  Department Of Electrical Engineering School Of Science And Engineering Waseda University

• Kuroda Shigeru

  Department of Mathematics, and Information Sciences, Tokyo Metropolitan University

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