论文标题
横向交叉点的本地术语
Local terms for transversal intersections
论文作者
论文摘要
本说明的目的是表明，在横向交集的情况下，Lefschetz痕迹公式中出现的“真实本地术语”等于“天真的本地术语”。为了证明结果，我们扩展了[VA]的方法，其中处理了合同对应的情况。我们的新成分是对Verdier的观察，即对正常锥体的任何eTale捆绑都是单粒子的，并且在某些情况下，当地术语“在家庭中是恒定的”。作为应用程序，我们获得了deligne-lusztig痕迹公式的概括。
The goal of this note is to show that in the case of transversal intersections the "true local terms" appearing in the Lefschetz trace formula equal to the "naive local terms". To prove the result we extend the method of [Va], where the case of contracting correspondences is treated. Our new ingredients are the observation of Verdier that specialization of any etale sheaf to the normal cone is monodromic and the assertion that in some cases local terms are "constant in families". As an application, we get a generalization of the Deligne-Lusztig trace formula.
