International Congress "MATHEMATICS in XXI century. The role of the MMD of NSU in science, education, and business."

25-28 June 2003, Novosibirsk Akademgorodok .

Discussion on the role of mathematics


Abstracts


Foundational and philosophical problems of pure and applied mathematics

On Nagata conjecture

Umirbaev U., Shestakov I.P.

Eurasian National University (Astana),
University of Sao Paulo (Sao Paulo,
Brazil)

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.



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