Abelian varieties with prescribed embedding and full embedding degrees
نویسندگان
چکیده
We study the problem of embedding degree an abelian variety over a finite field. In particular, we show that for prescribed CM field L ≥4, integers m, n and prime ℓ≡1(modm⋅n) splits completely in L, there exists ordinary with endomorphism algebra respect to ℓ full m⋅n ℓ. also class absolutely simple higher dimensional varieties whose algebras are central imaginary quadratic fields.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2023
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2023.06.009