Locally tame plane polynomial automorphisms

Joost Berson, Adrien Dubouloz, Jean-Philippe Furter, Stefan Maubach
2012 Journal of Pure and Applied Algebra  
For automorphisms of a polynomial ring in two variables over a domain R, we show that local tameness implies global tameness provided that every 2-generated locally free R-module of rank 1 is free. We give examples illustrating this property. (J. Berson), Adrien.Dubouloz@u-bourgogne.fr (A. Dubouloz), jpfurter@univ-lr.fr (J.-P. Furter), s.maubach@jacobs-university.de (S. Maubach).
doi:10.1016/j.jpaa.2011.05.013 fatcat:5vvpphfn2zhgliormi7qw5pvua