An alternative construction of zip period maps for Shimura varieties

Abstract

Let $S$ be the special fibre of a Shimura variety of Hodge type, with good reduction at a place above $p$. We give an alternative construction of the zip period map for $S$, which is used to define the Ekedahl-Oort strata of $S$. The method employed is local, $p$-adic, and group-theoretic in nature.

28 pages

References in corpus (3)

• Cycles on Shimura varieties via geometric Satake
• Filtered F-crystals on Shimura varieties of abelian type
• EKOR strata for Shimura varieties with parahoric level structure