Work

Explicit height estimates for CM curves of genus 2

Year: 2025

Type: article

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.

Source: Transactions of the London Mathematical Society

DOI: 10.1112/tlm3.70013

Authors: Linda Frey, Samuel Le Fourn, Elisa Lorenzo García

Institutions: University of Göttingen, Institut Fourier, Université Grenoble Alpes, Institut de recherche mathématique de Rennes, Université Rennes 1, Université de Rennes, University of Neuchâtel

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funders: National Science Foundation, Agence Nationale de la Recherche, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Awards: Lower height bounds, Methods for Low Dimensional Abelian Varieties, G7772193777

OpenAlex ID: W4413821649

FWCI:

Cites: 36

Cited by:

Related to: 10