论文标题
低维
Hodge stratification in low dimension
论文作者
论文摘要
我们定义并研究了用Pappas-roport条件定义的Shimura品种特殊纤维的HODGE分层，如果是低分支指数（$ e \ e \ leq 3 $）。对于$ e \ leq 2 $，Hodge多边形会引起强大的分层。对于$ e = 3 $，需要引入几个多边形。他们描述了具有额外结构的差速器捆绑的同构类别，并在该品种上诱导了强大的分层。
We define and study the Hodge stratification for the special fiber of Shimura varieties defined with the Pappas-Rapoport condition, in the case of low ramification index ($e \leq 3$). For $e \leq 2$, the Hodge polygon induces a strong stratification. For $e=3$, one needs to introduce several polygons. They describe the isomorphism class of the sheaf of differentials with extra structure, and induce a strong stratification on the variety.
