English

Appendix to a paper of Maisner and Nart

Number Theory 2007-05-23 v1 Algebraic Geometry

Abstract

We prove that there is no genus-2 curve over F_q whose Jacobian has characteristic polynomial of Frobenius equal to x^4 + (1 - 2q) x^2 + q^2. Maisner and Nart had observed (by direct computation) that this was true for all q less than 65.

Keywords

Cite

@article{arxiv.math/0111006,
  title  = {Appendix to a paper of Maisner and Nart},
  author = {Everett W. Howe},
  journal= {arXiv preprint arXiv:math/0111006},
  year   = {2007}
}

Comments

2 pages, Latex. To appear in Experiment. Math