English

Locally tame plane polynomial automorphisms

Algebraic Geometry 2010-11-04 v1 Commutative Algebra

Abstract

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 invertible R-module is free. We give many examples illustrating this property.

Keywords

Cite

@article{arxiv.1011.0976,
  title  = {Locally tame plane polynomial automorphisms},
  author = {Joost Berson and Adrien Dubouloz and Jean-Philippe Furter and Stefan Maubach},
  journal= {arXiv preprint arXiv:1011.0976},
  year   = {2010}
}
R2 v1 2026-06-21T16:38:36.628Z