论文标题
一个特殊的立方四倍的家族，有动机
A family of special cubic fourfolds with motive of abelian type
论文作者
论文摘要
在此简短的说明中，我们表明，存在一个立方四倍的一维家族，其中每个特殊立方四倍的Hassett Divisor内部的Abelian类型和有限维度的Chow动机。这也意味着相关Hyperkähler品种动机的Abelianity和有限维度，例如Fano种类的品种和LLSVS 8倍。
In this short note, we show that there exist one dimensional families of cubic fourfolds with Chow motive of abelian type and finite dimensional inside every Hassett divisor of special cubic fourfolds. This also implies abelianity and finite dimensionality of the motive of related Hyperkähler varieties, such as the Fano variety of lines and the LLSvS 8fold.
