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- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>2</mml:mn> </mml:math> curves over finite fields.