On a dynamical version of a theorem of Rosenlicht
Algebraic Geometry
2014-08-21 v1 Dynamical Systems
Number Theory
Abstract
Consider the action of an algebraic group on an irreducible algebraic variety all defined over a field . M. Rosenlicht showed that orbits in general position in can be separated by rational invariants. We prove a dynamical analogue of this theorem, where is replaced by a semigroup of dominant rational self-maps of . Our semigroup is not required to have the structure of an algebraic variety and can be of arbitrary cardinality.
Keywords
Cite
@article{arxiv.1408.4744,
title = {On a dynamical version of a theorem of Rosenlicht},
author = {Jason P. Bell and Dragos Ghioca and Zinovy Reichstein},
journal= {arXiv preprint arXiv:1408.4744},
year = {2014}
}