论文标题
De Rham，复杂的Hodge和$ P $ -ADIC HODGE实现函数在特征零字段的相对动机类别上
The De Rham, complex Hodge and $p$-adic Hodge realization functors on the derived category of relative motives over a field of characteristic zero
论文作者
论文摘要
We introduce the categories of geometric mixed Hodge modules on algebraic varieties over a subfield $k\subset\mathbb C$, and for a prime number $p$, the categories of geometric $p$-adic mixed Hodge modules on algebraic varieties over a subfield $k\subset K\subset\mathbb C_p$ of a p-adic field $K$.然后，我们在$ k \ subset \ mathbb c $的相对动机的DE派生类别上给出了一个hodge实现的函数，对于质量$ p $ p $ p $ a $ p $ a $ p $ a $ p $ hodge实现函数，在$ k \ subset k \ subset k \ subset k \ subset k \ subset \ mathbb c_p c_p $上的相对动机类别上。
We introduce the categories of geometric mixed Hodge modules on algebraic varieties over a subfield $k\subset\mathbb C$, and for a prime number $p$, the categories of geometric $p$-adic mixed Hodge modules on algebraic varieties over a subfield $k\subset K\subset\mathbb C_p$ of a p-adic field $K$. We then give an Hodge realization functor on the de derived category of relative motives over $k\subset\mathbb C$, and for a prime number $p$ a $p$-adic Hodge realization functor on the derived category of relative motives over $k\subset K\subset\mathbb C_p$.
