论文标题
Shimura品种，Kummer品种和理性曲线
Shimura Varieties, Kummer Varieties, and Rational Curves
论文作者
论文摘要
对于非常通用的产品$ $ a $ $ $七个或更多的椭圆形曲线，在Kummer品种$ a $ a $ a项目的每一个理性曲线都在kummer的各种至少一个因素上。结果，通过连接的单一类型的Shimura品种参数的某些Abelian品种的非常普遍的成员具有其Kummer品种没有合理曲线的特性。
For a very general product $A$ of seven or more elliptic curves, every rational curve on the Kummer variety of $A$ projects trivially onto the Kummer variety of at least one of its factors. As a consequence, a very general member of certain families of abelian varieties parametrized by connected Shimura varieties of unitary type has the property that its Kummer variety has no rational curves.
