Appendix to a paper of Maisner and Nart

Everett W. Howe

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Appendix to a paper of Maisner and Nart

Everett W. Howe

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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.

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Everett W. Howe. 2001-11-01. Appendix to a paper of Maisner and Nart. https://arxiv.org/abs/math/0111006

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