Corpus ID: 174801224

Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms

@article{Costa2019IdentifyingCE,
  title={Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms},
  author={Edgar Costa and D. Lombardo and J. Voight},
  journal={arXiv: Number Theory},
  year={2019}
}
Assuming the Mumford-Tate conjecture, we show that the center of the endomorphism ring of an abelian variety defined over a number field can be recovered from an appropriate intersection of the fields obtained from its Frobenius endomorphisms. We then apply this result to exhibit a practical algorithm to compute this center. 
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