English

Isogeny classes and endomorphisms algebras of abelian varieties over finite fields

Algebraic Geometry 2022-05-05 v3 Number Theory

Abstract

We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite field with isomorphic endomorphism algebras.

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Cite

@article{arxiv.2107.06432,
  title  = {Isogeny classes and endomorphisms algebras of abelian varieties over finite fields},
  author = {Yuri G. Zarhin},
  journal= {arXiv preprint arXiv:2107.06432},
  year   = {2022}
}

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22 pages