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arXiv · 2311.13403

Explicit height estimates for CM curves of genus 2

Linda Frey·Samuel Le Fourn·Elisa Lorenzo García
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Abstract

In this paper we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM by them and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.

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Linda Frey, Samuel Le Fourn, Elisa Lorenzo García. 2023-11-22. Explicit height estimates for CM curves of genus 2. https://arxiv.org/abs/2311.13403

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