Explicit height estimates for CM curves of genus 2
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 and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Authors
- Samuel Le Fourn (ORCID: https://orcid.org/0000-0002-9005-7953)
- Elisa Lorenzo García (ORCID: https://orcid.org/0000-0001-7360-1411)
- Linda Frey
Institutions
- Université Rennes 2 (FR)
- Institut de recherche mathématique de Rennes (FR)
- Institut Fourier (FR)
- Université de Rennes (FR)
- University of Neuchâtel (CH)
- University of Göttingen (DE)
- Université Grenoble Alpes (FR)
Publication Details
- Journal
- Transactions of the London Mathematical Society
- Published
- 2025-08-29
- DOI
- https://doi.org/10.1112/tlm3.70013
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Agence Nationale de la Recherche
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung