Analogy between Anderson $t$-motives and abelian varieties with multiplication by an imaginary quadratic field (MIQF) is a source of 2 results:

(1) A description of abelian varieties with MIQF of dimension $r$ and signature $(n,r-n)$ in terms of ”lattices” of dimension $r$ in ${ℂ}^n$;

(2) A construction of exterior powers of abelian varieties with MIQF having $n=1$.

中文翻译：

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使用 MIQF 的安德森 t 动机和阿贝尔变体：来自类比的结果

安德森之间的类比$吨$- 乘以虚二次域 (MIQF) 的动机和阿贝尔变量是 2 个结果的来源：

(1) 用维数 MIQF 描述阿贝尔簇$r$和签名$(n,r-n)$就维度的“格子”而言$r$在${ℂ}^n$;

(2) 具有 MIQF 的阿贝尔变体的外幂构造$n=1$.