arXiv subjects

Peter R. Bending

Publications and source records attributed to Peter R. Bending.

2 recordsLinked to original sources

arXiv1999

Curves of genus 2 with sqrt2 multiplication

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.

math.NT↗

arXiv1999

The Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2

We present a method for computing the Mordell-Weil rank of the jacobian of a curve of genus 2 with multiplication by a square root of 2, based on descent via isogenies of degree 2, and apply it to a family of curves.

math.NT↗