Hodge stratification in low dimension
Abstract
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 ≤ 3). For e ≤ 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.
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