Computing the Canonical Height of a Point in Projective Space

Abstract

We give an algorithm which requires no integer factorization for computing the canonical height of a point in ${\mathbb{P}}^1(\mathbb{Q})$ relative to a morphism $\varphi :{\mathbb{P}}_{\mathbb{Q}}^1\to {\mathbb{P}}_{\mathbb{Q}}^1$ of degree $d\ge 2$.

15 pages

References in corpus (1)

• Computing Canonical Heights on Elliptic Curves in Quasi-Linear Time