Jacobians in isogeny classes of abelian surfaces over finite fields

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.

LaTeX, 38 pages. Intermediate results in Section 13 have been generalized. Minor changes elsewhere

References in corpus (2)

• Supersingular genus-two curves over fields of characteristic three
• Principally polarizable isogeny classes of abelian surfaces over finite fields