论文标题
关于常规的尼尔植物赫森伯格品种的奇异性和正态性
On singularity and normality of regular nilpotent Hessenberg varieties
论文作者
论文摘要
常规的Nilpotent Hessenberg品种构成了旗帜品种的重要群，通常是单数，有时不是正常品种。像舒伯特的品种一样，它们包含称为置换标志的杰出点。在本文中，我们给出了一个常规的尼尔植物黑森贝格品种的置换旗的组合表征，使其成为一个单一的点。我们还将此结果应用于正常的代数品种的常规Nilpotent Hessenberg品种。
Regular nilpotent Hessenberg varieties form an important family of subvarieties of the flag variety, which are often singular and sometimes not normal varieties. Like Schubert varieties, they contain distinguished points called permutation flags. In this paper, we give a combinatorial characterization for a permutation flag of a regular nilpotent Hessenberg variety to be a singular point. We also apply this result to characterize regular nilpotent Hessenberg varieties which are normal algebraic varieties.
