| Display title | Nagata's conjecture |
| Default sort key | Nagata's conjecture |
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This attribute controls the content of the description and og:description elements. | In algebra, Nagata's conjecture states that Nagata's automorphism of the polynomial ring k[x,y,z] is wild. The conjecture was proposed by Nagata (1972) and proved by Ualbai U. Umirbaev and Ivan P. Shestakov (2004).
Nagata's automorphism is given by
$ \phi (x,y,z)=(x-2\Delta y-\Delta ^{2}z... |
