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NUMBER M20013
AUTHOR Hwang, WonTae
TITLE Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups
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JOURNAL JOURNAL OF NUMBER THEORY, 2021
ABSTRACT 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 a cyclic group of order 4g + 2. We also provide a description on the asymptotic behavior of prime numbers that are related to our construction. (C) 2021 Elsevier Inc. All rights reserved.
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