Semi-stable and splitting models for unitary Shimura varieties over ramified places. I

We consider Shimura varieties associated to a unitary group of signature $(n-s,s)$ where n is even. For these varieties, we construct smooth p-adic integral models for $s=1$ and regular p-adic integral models for $s=2$ and $s=3$ over odd primes p which ramify in the imaginary quadratic field with le...

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Bibliographic Details
Published inForum of mathematics. Sigma Vol. 13
Main Authors Zachos, Ioannis, Zhao, Zhihao
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 17.07.2025
Subjects
11G18
14G35
Fields (mathematics)
Number Theory
Subgroups
14G35
11G18
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Summary:We consider Shimura varieties associated to a unitary group of signature $(n-s,s)$ where n is even. For these varieties, we construct smooth p-adic integral models for $s=1$ and regular p-adic integral models for $s=2$ and $s=3$ over odd primes p which ramify in the imaginary quadratic field with level subgroup at p given by the stabilizer of a $\pi $ -modular lattice in the hermitian space. Our construction, which has an explicit moduli-theoretic description, is given by an explicit resolution of a corresponding local model.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:2050-5094
2050-5094
DOI:10.1017/fms.2025.10079