arXiv Analytics

Sign in

arXiv:math/0111006 [math.NT]AbstractReferencesReviewsResources

Appendix to a paper of Maisner and Nart

Everett W. Howe

Published 2001-11-01Version 1

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.

Comments: 2 pages, Latex. To appear in Experiment. Math
Journal: Experiment. Math. 11 (2002) 321--337.
Categories: math.NT, math.AG
Subjects: 11G20, 14G15, 11G10, 14H25
Related articles: Most relevant | Search more
arXiv:math/0201311 [math.NT] (Published 2002-01-31)
On the nonexistence of certain curves of genus two
arXiv:2401.12620 [math.NT] (Published 2024-01-23)
Characteristic polynomials of isometries of even unimodular lattices
arXiv:1806.10789 [math.NT] (Published 2018-06-28)
The characteristic polynomials of abelian varieties of higher dimension over finite fields

Links

Toolbox