论文标题
关于诺里动机家族的不变周期定理
On the invariant cycle theorem for families of Nori motives
论文作者
论文摘要
在本文中，我们证明了由于deligne而在霍奇理论中固定部分定理的动机增强。在纯粹的动机中，这是安德烈（André）在[和96]中首次完成的。我们的主要结果是对混合情况的扩展，该案例加强了Arapura [ara13]的结果，并且在NORI动机的框架内，也提供了Ayoub [Ayo14]结果的替代性和简单证明。
In this paper, we prove a motivic enhancement of the theorem of the fixed part in Hodge theory due to Deligne. In the pure motivic case, this was done for the first time by André in [And96]. Our main result is an extension to the mixed case, which strengthens a result by Arapura [Ara13] and also provides an alternative and simpler proof, in the framework of Nori motives, of a result by Ayoub [Ayo14].
