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arXiv · 1006.0822

Genus bounds for curves with fixed Frobenius eigenvalues

Noam D. Elkies·Everett W. Howe·Christophe Ritzenthaler
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Abstract

For every finite collection C of abelian varieties over F_q, we produce an explicit upper bound on the genus of curves over F_q whose Jacobians are isogenous to a product of powers of elements of C.

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Noam D. Elkies, Everett W. Howe, Christophe Ritzenthaler. 2010-06-04. Genus bounds for curves with fixed Frobenius eigenvalues. https://doi.org/10.1090/s0002-9939-2013-11839-3

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