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- aggregation classification "A1".
- aggregation creator B872341.
- aggregation creator B872342.
- aggregation creator person.
- aggregation date "2014".
- aggregation format "application/pdf".
- aggregation hasFormat 5825467.bibtex.
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- aggregation isPartOf urn:issn:1930-5346.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Curves in characteristic 2 with non-trivial 2-torsion".
- aggregation abstract "Cais, Ellenberg and Zureick-Brown recently observed that over finite fields of characteristic two, all sufficiently general smooth plane projective curves of a given odd degree admit a non-trivial rational 2-torsion point on their Jacobian. We extend their observation to curves given by Laurent polynomials with a fixed Newton polygon, provided that the polygon satisfies a certain combinatorial property. We also show that in each of these cases, if the curve is ordinary, then there is no need for the words "sufficiently general". Our treatment includes many classical families, such as hyperelliptic curves of odd genus and C-a,C-b curves. In the hyperelliptic case, we provide alternative proofs using an explicit description of the 2-torsion subgroup.".
- aggregation authorList BK1250526.
- aggregation endPage "495".
- aggregation issue "4".
- aggregation startPage "479".
- aggregation volume "8".
- aggregation aggregates 5928067.
- aggregation isDescribedBy 5825467.
- aggregation similarTo amc.2014.8.479.
- aggregation similarTo LU-5825467.