algebraically independent多项式次数的降落伞
A parachute for the degree of a polynomial in algebraically independent ones
摘要：
我们给出了一个更简单的证明以及Shestakov和Umirbaev的一篇文章的主要结果的推广。这后一篇文章是第一个两个解决了一个长期存在的猜想有关的非驯服，或“野性”，永田的自同构。作为推论，我们得到了关于在任意维上形成自同构的多项式的首项的有趣信息，并重新证明了二维自同构的驯服性。
英文摘要：
We give a simpler proof as well as a generalization of the main result of an article of Shestakov and Umirbaev. This latter article being the first of two that solve a long-standing conjecture about the non-tameness, or "wildness", of Nagata's automorphism. As corollaries we get interesting informations about the leading terms of polynomials forming an automorphism in any dimension and reprove the tameness of automorphisms in dimension two.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
