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arXiv · 1602.04920

Computing the Canonical Height of a Point in Projective Space

Elliot Wells
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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 $\phi: \mathbb{P}_{\mathbb{Q}}^1 \rightarrow \mathbb{P}_{\mathbb{Q}}^1$ of degree $d \geq 2$.

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Elliot Wells. 2016-02-16. Computing the Canonical Height of a Point in Projective Space. https://arxiv.org/abs/1602.04920

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