Complex dynamics and invariant forms mod p
Number Theory
2007-05-23 v2 Dynamical Systems
Abstract
Complex dynamical systems on the Riemann sphere do not possess ``invariant forms''. However there exist non-trivial examples of dynamical systems, defined over number fields, satisfying the property that their reduction modulo possesses ``invariant forms'' for all but finitely many places . The paper completely characterizes those dynamical systems possessing the latter property.
Cite
@article{arxiv.math/0505037,
title = {Complex dynamics and invariant forms mod p},
author = {Alexandru Buium},
journal= {arXiv preprint arXiv:math/0505037},
year = {2007}
}
Comments
revised version to appear in IMRN