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| TITLE | Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups |
|---|---|
| KIAS AUTHORS | Hwang, WonTae |
| JOURNAL | JOURNAL OF NUMBER THEORY, 2021 |
| ARCHIVE | |
| 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. |
