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Jacobians in isogeny classes of abelian surfaces over finite fields

Everett W. Howe·Enric Nart·Christophe Ritzenthaler
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Abstract

We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus-2 curves over finite fields.

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Everett W. Howe, Enric Nart, Christophe Ritzenthaler. 2007-04-04. Jacobians in isogeny classes of abelian surfaces over finite fields. https://arxiv.org/abs/math/0607515

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