论文标题
在阿贝尔品种的时期
On the periods of abelian varieties
论文作者
论文摘要
在这篇说明性论文中，我们在具有复杂乘法的椭圆曲线时期回顾了Chowla和Selberg的公式，并讨论了两种证明方法。一种使用Kronecker的极限公式，另一个使用Abelian品种的几何形状。我们讨论了该公式的概括，该公式是由Colmez提出的，以及几何证明中出现的一些显式霍奇循环。
In this expository paper, we review the formula of Chowla and Selberg for the periods of elliptic curves with complex multiplication, and discuss two methods of proof. One uses Kronecker's limit formula and the other uses the geometry of a family of abelian varieties. We discuss a generalization of this formula, which was proposed by Colmez, as well as some explicit Hodge cycles which appear in the geometric proof.
