Nagata's conjecture
id:
nagata-s-conjecture-302-10280450
title:
Nagata's conjecture
text:
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 where Δ = x z + y 2 . For the inverse, let = ϕ Then z = c and Δ = b 2 + a c .
With this y = b − Δ c and x = a + 2 Δ y + Δ 2 z .
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wiki
category slug:
encyclopedia
description:
Mathematical theorem in algebra
original url:
https://en.wikipedia.org/wiki/Nagata%27s_conjecture
date created:
date modified:
2022-04-19T14:43:13Z
main entity:
{"identifier":"Q6958656","url":"https://www.wikidata.org/entity/Q6958656"}
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13
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