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Main Author:	Mao, Shengkai
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	https://arxiv.org/abs/2504.13911
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author	Mao, Shengkai
author_facet	Mao, Shengkai
contents	We compute the level groups associated with mixed Shimura varieties that appear at the boundaries of compactifications of Shimura varieties and show that the boundaries of minimal compactifications of Pappas-Rapoport integral models are finite quotients of smaller Pappas-Rapoport integral models. Additionally, we prove that the compactifications of integral models of Hodge-type Shimura varieties with quasi-parahoric level structures are independent of the choice of Siegel embedding, and use this to construct and analyze the change-of-parahoric morphisms on these compactifications.
format	Preprint
id	arxiv_https___arxiv_org_abs_2504_13911
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Boundary structures of integral models of Hodge-type Shimura Varieties Mao, Shengkai Number Theory We compute the level groups associated with mixed Shimura varieties that appear at the boundaries of compactifications of Shimura varieties and show that the boundaries of minimal compactifications of Pappas-Rapoport integral models are finite quotients of smaller Pappas-Rapoport integral models. Additionally, we prove that the compactifications of integral models of Hodge-type Shimura varieties with quasi-parahoric level structures are independent of the choice of Siegel embedding, and use this to construct and analyze the change-of-parahoric morphisms on these compactifications.
title	Boundary structures of integral models of Hodge-type Shimura Varieties
topic	Number Theory
url	https://arxiv.org/abs/2504.13911

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