A lower bound on the canonical height for polynomials

Nicole Looper

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arXiv · 1709.08121

A lower bound on the canonical height for polynomials

Nicole Looper

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Abstract

We prove a lower bound on the canonical height associated to polynomials over number fields evaluated at points with infinite forward orbit. The lower bound depends only on the degree of the polynomial, the degree of the number field, and the number of places of bad reduction.

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Nicole Looper. 2017-09-23. A lower bound on the canonical height for polynomials. https://arxiv.org/abs/1709.08121

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