Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms
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Publication:2038099
DOI10.1007/S40993-021-00264-YzbMATH Open1481.11062arXiv1906.02803OpenAlexW3174051079MaRDI QIDQ2038099
Author name not available (Why is that?)
Publication date: 9 July 2021
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1906.02803
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