论文标题
立方四倍，Kuznetsov组件和Chow动机
Cubic fourfolds, Kuznetsov components and Chow motives
论文作者
论文摘要
我们证明了两个平滑立方四倍的Chow动机，其Kuznetsov组件是傅立叶 - 穆凯衍生的等效性，是同构，如Frobenius代数对象。作为推论，我们获得了其L-ADIC同构frobenius代数之间存在Galois-Equivariant同构。我们还讨论了平滑立方四倍的kuznetsov分量与K3表面相当的傅立叶 - 穆凯。
We prove that the Chow motives of two smooth cubic fourfolds whose Kuznetsov components are Fourier-Mukai derived-equivalent are isomorphic as Frobenius algebra objects. As a corollary, we obtain that there exists a Galois-equivariant isomorphism between their l-adic cohomology Frobenius algebras. We also discuss the case where the Kuznetsov component of a smooth cubic fourfold is Fourier-Mukai derived-equivalent to a K3 surface.
