论文标题
代数堆栈的Nisnevich动机
The Nisnevich Motive of an Algebraic Stack
论文作者
论文摘要
我们在Nisnevich拓扑结构中构建了代数堆栈的动机。对于Nisnevich本地商堆栈的堆栈，我们就简单方案进行了动机的介绍。我们还表明，对于商堆栈，动机共同体学与具有整数系数的Edidin-Graham-Totaro Chow组一致。
We construct the motive of an algebraic stack in the Nisnevich topology. For stacks which are Nisnevich locally quotient stacks, we give a presentation of the motive in terms of simplicial schemes. We also show that for quotient stacks the motivic cohomology agrees with the Edidin-Graham-Totaro Chow groups with integer coefficients.
