发表机构
Université de Lille(里尔大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文研究正交箭图的箭图簇,利用预投影代数中的图形演算,确定了由仿射Dynkin图产生的Kleinian曲面奇点类型。
AI 中文摘要
我们研究与正交箭图相关的箭图簇,并确定由仿射Dynkin类型产生的Kleinian曲面奇点。在经典设置中,仿射Dynkin箭图通过Kronheimer对Kleinian奇点的构造及其由Nakajima以箭图簇形式给出的重新表述,扮演着特殊角色。利用箭图的预投影代数中的图形演算,我们确定了哪些Kleinian曲面奇点由底层图为仿射Dynkin图的正交箭图产生。
英文摘要
We study quiver varieties associated with orthogonal quivers and determine the Kleinian surface singularities arising from affine Dynkin types. In the classical setting, affine Dynkin quivers play a distinguished role through Kronheimer's construction of Kleinian singularities and its reformulation by Nakajima in terms of quiver varieties. Using a graphical calculus in the preprojective algebra of the quiver, we determine which Kleinian surface singularities arise from orthogonal quivers whose underlying graph is an affine Dynkin diagram.