Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms
نویسندگان
چکیده
Assuming the Mumford–Tate conjecture, we show that center of endomorphism ring an abelian variety defined over a number field can be recovered from appropriate intersection fields obtained its Frobenius endomorphisms. We then apply this result to exhibit practical algorithm compute center.
منابع مشابه
Endomorphisms of Abelian Varieties over Finite Fields
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ژورنال
عنوان ژورنال: Research in number theory
سال: 2021
ISSN: ['2363-9555', '2522-0160']
DOI: https://doi.org/10.1007/s40993-021-00264-y