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arXiv · 1707.05877

Improved rank bounds from 2-descent on hyperelliptic Jacobians

Brendan Creutz
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Abstract

We describe a qualitative improvement to the algorithms for performing 2-descents to obtain information regarding the Mordell-Weil rank of a hyperelliptic Jacobian. The improvement has been implemented in the Magma Computational Algebra System and as a result, the rank bounds for hyperelliptic Jacobians are now sharper and have the conjectured parity.

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Brendan Creutz. 2017-07-18. Improved rank bounds from 2-descent on hyperelliptic Jacobians. https://arxiv.org/abs/1707.05877

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