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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A new geometric proof of Jung's theorem on factorisation of automorphisms of $\mathbb{C} ^2$


Author: Javier Fernández de Bobadilla
Journal: Proc. Amer. Math. Soc. 133 (2005), 15-19
MSC (2000): Primary 14E07, 14R10, 13M10
Published electronically: July 22, 2004
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Abstract: Building up on the classical theory of algebraic surfaces and their birational transformations we prove Jung's theorem on factorisation of automorphisms of $\mathbb{C} ^2$ reducing it to a simple combinatorial argument.


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Additional Information

Javier Fernández de Bobadilla
Affiliation: Mathematisch Instituut, Universiteit Utrecht, Postbus 80010, 3508TA Utrecht, The Netherlands
Email: bobadilla@math.uu.nl

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07637-3
PII: S 0002-9939(04)07637-3
Received by editor(s): June 5, 2002
Received by editor(s) in revised form: September 6, 2003
Published electronically: July 22, 2004
Additional Notes: This work was supported by a fellowship of the Banco de España
Communicated by: Michael Stillman
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.