Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms
RESEARCH IN NUMBER THEORY(2021)
摘要
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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