Endomorphisms of Bounded Height and Resultant
Number Theory
2014-08-14 v2
Abstract
Let K be an algebraic number field. For a degree d rational morphism of projective n-space defined over K let R denote its minimal resultant ideal. For a fixed height function on the moduli space of dynamical systems this paper shows that all such morphisms of bounded height and resultant are contained in finitely many PGL(K) equivalence classes. This answers a question of Silverman in the affirmative.
Keywords
Cite
@article{arxiv.1309.5417,
title = {Endomorphisms of Bounded Height and Resultant},
author = {Brian Stout and Adam Towsley},
journal= {arXiv preprint arXiv:1309.5417},
year = {2014}
}