Journal of the Mathematical Society of Japan

A generalization of the Shestakov-Umirbaev inequality

Shigeru KURODA

Abstract

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.

Article information

Source
J. Math. Soc. Japan, Volume 60, Number 2 (2008), 495-510.

Dates
First available in Project Euclid: 30 May 2008

https://projecteuclid.org/euclid.jmsj/1212156660

Digital Object Identifier
doi:10.2969/jmsj/06020495

Mathematical Reviews number (MathSciNet)
MR2421986

Zentralblatt MATH identifier
1144.14046

Citation

KURODA, Shigeru. A generalization of the Shestakov-Umirbaev inequality. J. Math. Soc. Japan 60 (2008), no. 2, 495--510. doi:10.2969/jmsj/06020495. https://projecteuclid.org/euclid.jmsj/1212156660

References

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