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Compactifications of subschemes of integral models of Hodge-type Shimura Varieties with Parahoric level structures

Published 11 Apr 2025 in math.NT | (2504.08574v1)

Abstract: We prove that central leaves, Igusa varieties, Newton strata, Kottwitz-Rapoport Strata, Ekedahl-Kottwitz-Oort-Rapoport strata on the special fiber of a Kisin-Pappas integral model of a Hodge-type Shimura variety with connected parahoric level structure are well-positioned, generalizing some work of Kai-wen Lan and Benoit Stroh.

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