论文标题

有限群体和未受到共同体学的分类群的动机类别类别

Motivic classes of classifying stacks of finite groups and unramified cohomology

论文作者

Scavia, Federico

论文摘要

结合了Peyre,Colliot-Thélène和Voisin的作品,我们给出了有限的组$ G $的第一个例子,以使其在Ekedahl的Grothendieck堆栈中的堆栈$ BG $分类的动机类别超过$ \ \ \ \ \ m athbb {C} $是非trivial and $ bg $ trivial brauerivied brauerivied brauererearearereareare brauerearearereare brauererear brauereareare comply。

Combining work of Peyre, Colliot-Thélène and Voisin, we give the first example of a finite group $G$ such that the motivic class of its classifying stack $BG$ in Ekedahl's Grothendieck ring of stacks over $\mathbb{C}$ is non-trivial and $BG$ has trivial unramified Brauer group.

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