An upper bound for the height for regular affine automorphisms of A^n
Number Theory
2009-09-18 v1 Algebraic Geometry
Abstract
In 2006, Kawaguchi proved a lower bound for height of h(f(P)) when f is a regular affine automorphism of A^2, and he conjectured that a similar estimate is also true for regular affine automorphisms of A^n for n>2. In this paper we prove Kawaguchi's conjecture. This implies that Kawaguchi's theory of canonical heights for regular affine automorphisms of projective space is true in all dimensions.
Keywords
Cite
@article{arxiv.0909.3107,
title = {An upper bound for the height for regular affine automorphisms of A^n},
author = {ChongGyu Lee},
journal= {arXiv preprint arXiv:0909.3107},
year = {2009}
}