Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups
نویسندگان
چکیده
For each Sophie Germain prime g≥5, we construct an absolutely simple polarized abelian variety of dimension g over a finite field, whose automorphism group is cyclic order 4g+2. We also provide description on the asymptotic behavior numbers that are related to our construction.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2020.12.003