Bruhat地层和带有附加结构的F-拉链
Bruhat strata and F-zips with additional structures
摘要：
本文研究了不一定连通的约化拟分裂群$G$关于不一定连通的抛物子群的Bruhat分解.如果$G$定义在有限域上，我们构造了一个光滑态射，从分类具有$G$ -结构的$F$ -zips的栈到分类广义Bruhat细胞的栈，并研究了所得分层之间的关系.我们将这些一般结果应用到扭曲正交$F$ -zip给出的第二德-Rham上同调的相对表面，集中在K3-表面。
英文摘要：
In this paper we study the Bruhat decomposition of not necessarily connected reductive quasi-split groups $G$ with respect to not necessarily connected parabolic subgroups. If $G$ is defined over a finite field, we construct a smooth morphism from the stack classifying $F$-zips with $G$-structure to the stack classifying the generalized Bruhat cells and study the relation between the resulting stratifications. We apply these general results to the twisted orthogonal $F$-zip given by the second De Rham cohomology of a relative surface, focussing on K3-surfaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
