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 imagi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2025-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509425100790/type/journal_article |
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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. |
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| ISSN: | 2050-5094 |