论文标题
动机共同体学的Serre型光谱序列
A Serre-type spectral sequence for motivic cohomology
论文作者
论文摘要
在本文中，我们构建和研究了与具有动机性细胞纤维的双性化方案图相关的动机共同体的Serre型光谱序列。然后，我们展示了如何应用它，以便计算Nisnevich分类的一般线性群体的分类空间的动机共同体。这自然会在其Čech简单方案的扭曲动机方面对vever-rauer品种的动机进行明确的描述。
In this paper, we construct and study a Serre-type spectral sequence for motivic cohomology associated to a map of bisimplicial schemes with motivically cellular fiber. Then, we show how to apply it in order to approach the computation of the motivic cohomology of the Nisnevich classifying space of projective general linear groups. This naturally yields an explicit description of the motive of a Severi-Brauer variety in terms of twisted motives of its Čech simplicial scheme.
