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Superspecial abelian varieties over finite prime fields

Number Theory 2010-04-14 v2

Abstract

In this paper we determine the number of isomorphism classes of superspecial abelian varieties AA over the prime field \Fp\Fp such that the relative Frobenius morphism πA\pi_A satisfying πA2=p\pi_A^2=-p.

Keywords

Cite

@article{arxiv.1004.0120,
  title  = {Superspecial abelian varieties over finite prime fields},
  author = {Chia-Fu Yu},
  journal= {arXiv preprint arXiv:1004.0120},
  year   = {2010}
}

Comments

12 pages, revised version