We prove that a smooth complete intersection of two quadrics of dimension at least $2$ over a number field has index dividing $2$, i.e., that it possesses a rational $0$-cycle of degree $2$.

中文翻译：

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两个二次曲线交点上的二次点

我们证明两个维度​​的二次曲面至少有一个平滑的完全交集$2$数字字段有索引除法$2$，即它具有有理数$0$-学位周期$2$。