An analog of the Edwards model for Jacobians of genus 2 curves

We give the explicit equations for a P^3 x P^3 embedding of the Jacobian of a curve of genus 2, which gives a natural analog for abelian surfaces of the Edwards curve model of elliptic curves. This gives a much more succinct description of the Jacobian variety than the standard version in P^{15}. We...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2023-10
Hauptverfasser:	Flynn, E Victor, Khuri-Makdisi, Kamal
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Symbolic Computation Curves Jacobians Mathematics - Algebraic Geometry Mathematics - Number Theory
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!