论文标题
绝对简单的偏光型阿贝尔（Abelian obelian of Sophie Germain Primen）在有限的田地上具有最大的自动形态组
Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups
论文作者
论文摘要
对于每个Sophie Germain Prime $ g \ geq 5，$我们在有限场上构建了一个绝对简单的偏光尺寸$ g $，其自动形态群是一个循环订单组$ 4G+2 $。我们还提供了与我们的构建有关的质数的渐近行为的描述。
For each Sophie Germain prime $g \geq 5,$ 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.
