Large torsion subgroups of split Jacobians of curves of genus two or three

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dc.creatorHowe, Everett W.
dc.creatorLeprevost, Franck
dc.creatorPoonen, Bjorn
dc.date1998-09-08
dc.date.accessioned2026-07-07T05:26:15Z
dc.date.available2026-07-07T05:26:15Z
dc.descriptionWe construct examples of families of curves of genus 2 or 3 over Q whose Jacobians split completely and have various large rational torsion subgroups. For example, the rational points on a certain elliptic surface over P^1 of positive rank parameterize a family of genus-2 curves over Q whose Jacobians each have 128 rational torsion points. Also, we find the genus-3 curve 15625(X^4 + Y^4 + Z^4) - 96914(X^2 Y^2 + X^2 Z^2 + Y^2 Z^2) = 0, whose Jacobian has 864 rational torsion points. This paper has appeared in Forum Math. 12 (2000) 315-364.
dc.identifierhttps://arxiv.org/abs/math/9809210
dc.identifierhttp://arxiv.org/abs/math/9809210
dc.identifierForum Math. 12, no. 3 (2000), 315--364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77483
dc.subjectNumber Theory
dc.titleLarge torsion subgroups of split Jacobians of curves of genus two or three
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