Superspecial abelian varieties over finite prime fields

Abstract

In this paper we determine the number of isomorphism classes of superspecial abelian varieties $A$ over the prime field $\Fp$ such that the relative Frobenius morphism ${\pi }_A$ satisfying ${\pi }_A^2=-p$.

12 pages, revised version

References in corpus (1)

• An exact geometric mass formula

Cited by in corpus (1)

• On Hermitian forms over dyadic non-maximal local orders