Algebraic Entropy of Birational Maps with Invariant Curves
chao-dyn
2020-11-30 v1 Mathematical Physics
Algebraic Geometry
Dynamical Systems
math.MP
Chaotic Dynamics
Abstract
The relevance of the algebraic entropy in the study of birational discrete time dynamical systems highlights the need to relate it to other characteristics of these systems. In this letter, two complementary proofs are given that the foliation of the space by invariant curves implies that the algebraic entropy is zero.
Cite
@article{arxiv.chao-dyn/9912012,
title = {Algebraic Entropy of Birational Maps with Invariant Curves},
author = {M. P. Bellon},
journal= {arXiv preprint arXiv:chao-dyn/9912012},
year = {2020}
}
Comments
11 pages, no figure