论文标题
CDH下降，CDARC下降和Milnor切除
Cdh descent, cdarc descent, and Milnor excision
论文作者
论文摘要
按照Bhatt和Mathew的想法，我们为CDH捆起来提供了必要和足够的条件，以满足Milnor切除。在此过程中，我们表明，有限的估值维度的准混合准分离方案的CDH无穷大台上是超级综述，将Voevodsky的定理扩展到了非noetherian方案。作为一种应用，我们表明，如果e是磁场K上的动机频谱，这对于K中的某些n可逆，则是E的k-schemes k-schemes的共同体学理论，可以满足Milnor的切除。
We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a quasi-compact quasi-separated scheme of finite valuative dimension is hypercomplete, extending a theorem of Voevodsky to nonnoetherian schemes. As an application, we show that if E is a motivic spectrum over a field k which is n-torsion for some n invertible in k, then the cohomology theory on k-schemes defined by E satisfies Milnor excision.
