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

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.


14H40 Jacobians, Prym varieties
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