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Pré-Publication, Document De Travail Année : 2023

Explicit height estimates for CM curves of genus 2

Résumé

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.

Dates et versions

hal-04373510 , version 1 (05-01-2024)

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Linda Frey, Samuel Le Fourn, Elisa Lorenzo García. Explicit height estimates for CM curves of genus 2. 2024. ⟨hal-04373510⟩
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