A generalization of the Shestakov-Umirbaev inequality
KURODA, Shigeru
J. Math. Soc. Japan, Tome 60 (2008) no. 1, p. 495-510 / Harvested from Project Euclid
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We give a generalization of the Shestakov-Umirbaev inequality which plays an important role in their solution of the Tame Generators Problem on the automorphism group of a polynomial ring. As an application, we give a new necessary condition for endomorphisms of a polynomial ring to be invertible, which implies Jung's theorem in case of two variables.
Publié le : 2008-04-15
Classification:  polynomial automorphism,  Tame Generators Problem,  14R10,  12H05 
@article{1212156660,
     author = {KURODA, Shigeru},
     title = {A generalization of the Shestakov-Umirbaev inequality},
     journal = {J. Math. Soc. Japan},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 495-510},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1212156660}
}

KURODA, Shigeru. A generalization of the Shestakov-Umirbaev inequality. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp.  495-510. http://gdmltest.u-ga.fr/item/1212156660/