Curves of genus 2 with sqrt2 multiplication

Details Curves of genus 2 with sqrt2 multiplication Curves of genus 2 with sqrt2 multiplication

1999-11-23

arxiv.org/abs/math/9911273v1

Mathematics

Number Theory

Scientific paper

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.

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