论文标题
赫森伯格的仿射铺路理想纤维
Affine Pavings of Hessenberg Ideal Fibers
论文作者
论文摘要
我们定义了旗帜品种Hessenberg理想纤维的某些封闭次视频，并证明它们是由阳性铺平的。赫森伯格理想纤维是弹簧纤维的自然概括。在类型$ G_2 $中，我们对所有Hessenberg理想纤维进行了明确的描述，研究了它们的一些几何特性，并使用它们完全对Tymoczko的DOT动作进行分类，使Weyl群在常规半岛杂种Hessenberg品种的常规半岛共同体中进行分类。
We define certain closed subvarieties of the flag variety, Hessenberg ideal fibers, and prove that they are paved by affines. Hessenberg ideal fibers are a natural generalization of Springer fibers. In type $G_2$, we give explicit descriptions of all Hessenberg ideal fibers, study some of their geometric properties and use them to completely classify Tymoczko's dot actions of the Weyl group on the cohomology of regular semisimple Hessenberg varieties.
