Curves of genus 2 with sqrt2 multiplication

1999/11/23 by Peter R. Bending, Bending, Peter R. · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #Polynomial and algebraic computation #math.NT

paper · pdf · doi:10.48550/arxiv.math/9911273

arxiv created 1999/11/23 · arxiv updated 2009/12/01

Abstract

In this paper, we give a universal family of curves of genus 2 whose jacobians have √2 multiplication fixed by the Rosati involution, and several results based on it, including isogenies between jacobians of curves, and jacobians of curves with quaternionic multiplication.

Cited by

• Counting Points on Genus 2 Curves with Real Multiplication
• The Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2

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