Jacobians of some curves of genus 2: torsion and simplicity. (Jacobiennes de certaines courbes de genre 2: torsion et simplicité.) (French) Zbl 0864.14017

Leprevost, Franck

J. Théor. Nombres Bordx. 7, No. 1, 283-306 (1995).

The author constructs equation of curves of genus 2, defined over \(\mathbb{Q}\), whose Jacobian has a \(\mathbb{Q}\)-rational point of order \(n\) for \(n=21\), 22, 23, 25, 26, 27 and 29; the Jacobian of all these curves are shown to be absolutely simple.

Reviewer: L.Chiantini (Siena)

MSC:

14H40

Jacobians, Prym varieties

Keywords:

equation of curves; Jacobian

References:

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