论文标题
动机光谱Mackey函数
Motivic spectral Mackey functors
论文作者
论文摘要
我们表明，如果G是在方案X上作用的有限常数组，使G的顺序在X的残基领域中是可逆的，那么X的G-等级动机稳定同型类别类别等于具有有限的Ettale Transfers over x the x的动机GAPAS类别的稳定。在途中，我们获得了几个独立关注的结果：我们在堆栈的动机同型理论中构建和研究规范，并将同型T结构扩展到DM堆栈并建立一些有利的特性。
We show that if G is a finite constant group acting on a scheme X such that the order of G is invertible in the residue fields of X, then the G-equivariant motivic stable homotopy category of X is equivalent to the stabilization of the category of motivic G-spaces with finite étale transfers over X at the trivial representation sphere. Along the way we obtain several results of independent interest, among them: we construct and study norms in the motivic homotopy theory of stacks, and we extend the homotopy t-structure to DM-stacks and establish some favorable properties.
