English

Curves of genus 2 with sqrt2 multiplication

Number Theory 2007-05-23 v1

Abstract

In this paper, we give a universal family of curves of genus 2 whose jacobians have 2\sqrt2 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.

Keywords

Cite

@article{arxiv.math/9911273,
  title  = {Curves of genus 2 with sqrt2 multiplication},
  author = {Peter R. Bending},
  journal= {arXiv preprint arXiv:math/9911273},
  year   = {2007}
}
R2 v1 2026-07-22T18:05:32.836Z