论文标题
动机和埃特尔·贝克·戈特利布转移的添加性和双固定配方
Additivity and Double Coset formulae for the Motivic and Étale Becker-Gottlieb transfer
论文作者
论文摘要
在本文中，这是第一作者和Gunnar Carlsson早期作品的延续，我们确定的第一个结果之一是动机Becker-Gottlieb转移的添加性，以及他们的od泰勒实现。这扩展了作者已经为相应轨迹建立的可加性结果。然后，我们将其应用于一些重要的后果：例如，除了获得代数拓扑经典环境中已知的各种双重固定公式的类似物外，我们还为在分离封闭的封闭场上与还原基团相关的均质空间的Brauer群体提供了应用。我们还考虑了由$ 1 $ - 参数子组与兼容操作的方案的转移与与$ 1 $ - 参数亚组的固定点方案相关的转移之间的关系。
In this paper, which is a continuation of earlier work by the first author and Gunnar Carlsson, one of the first results we establish is the additivity of the motivic Becker-Gottlieb transfer, as well as their étale realizations. This extends the additivity results the authors already established for the corresponding traces. We then apply this to derive several important consequences: for example, in addition to obtaining the analogues of various double coset formulae known in the classical setting of algebraic topology, we also obtain applications to Brauer groups of homogeneous spaces associated to reductive groups over separably closed fields. We also consider the relationship between the transfer on schemes provided with a compatible action by a $1$-parameter subgroup and the transfer associated to the fixed point scheme of the $1$-parameter subgroup.
