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Curves of genus 2 with sqrt2 multiplication

Research paper by Peter R. Bending

Indexed on: 22 Nov '99Published on: 22 Nov '99Published in: Mathematics - Number Theory



Abstract

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