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 of K[x (1), . . . , x (n) ] and reprove the tameness of automorphisms of K[x (1), x (2)].

  • 出版日期2011-3