论文标题
具有最大galois图像的过椭圆形雅各布人的产物
Products of hyperelliptic Jacobians with maximal Galois image
论文作者
论文摘要
在本说明中，我们研究了雅各布人的产物相关的阿德式表示。我们提供了一个简单的标准，该标准确保这种表示在某种意义上具有最大的Galois图像。作为应用程序，我们提供了一种构造Jacobians的产品的方法，并尽可能脱节。
In this note we study the associated adelic representation of a product of hyperelliptic Jacobians. We give a simple criterion that assures that this representation has maximal Galois image in a certain sense. As an application, we provide a method of constructing products of Jacobians with division fields as disjoint as they can be.
