Improved rank bounds from 2-descent on hyperelliptic Jacobians
Number Theory
2017-07-20 v1
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.
Keywords
Cite
@article{arxiv.1707.05877,
title = {Improved rank bounds from 2-descent on hyperelliptic Jacobians},
author = {Brendan Creutz},
journal= {arXiv preprint arXiv:1707.05877},
year = {2017}
}