论文标题
动机和典型的杀手 - 白头双重性以及贝克·戈特利布转移
Motivic and Étale Spanier-Whitehead duality and the Becker-Gottlieb transfer
论文作者
论文摘要
在本文中，我们基于Spanier-Whitehead二元性开发了贝克尔 - 戈特利布转移的理论，它具有动机和étale的设置，以在尽可能广泛的环境中进行平滑的准项目式品种，例如，对于所有特征，以及对于所有特征，以及对于欧特尔的各种特征，以及欧特的动机和欧特的动机。 鉴于传统的贝克尔 - 戈特利布转移最有前途的应用是对托索尔和鲍雷尔式的epoivariant共同体学理论的，我们将应用集中在动机的共同体学理论上，用于Torsors以及鲍尔风格的Equivariant Equivariant Motivic Coomomologicy conseciential coops of Active tosection tosectra tosectra spectra spectra。我们在这个方向上获得了几个结果，包括在广义动机共同体学理论中稳定的分裂。即将发表的论文将讨论各种进一步的申请。
In this paper, we develop a theory of Becker-Gottlieb transfer based on Spanier-Whitehead duality that holds in both the motivic and étale settings for smooth quasi-projective varieties in as broad a context as possible: for example, for varieties over non-separably closed fields in all characteristics, and also for both the étale and motivic settings. In view of the fact that the most promising applications of the traditional Becker-Gottlieb transfer has been to torsors and Borel-style equivariant cohomology theories, we focus our applications to motivic cohomology theories for torsors as well as Borel-style equivariant motivic cohomology theories, both defined with respect to motivic spectra. We obtain several results in this direction, including a stable splitting in generalized motivic cohomology theories. Various further applications will be discussed in forthcoming papers.
