Semi-stable models for some unitary Shimura varieties over ramified primes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910618481590272 |
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| author | Zachos, Ioannis |
| author_facet | Zachos, Ioannis |
| contents | We consider Shimura varieties associated to a unitary group of signature $(2,n-2)$. We give regular $p$-adic integral models for these varieties over odd primes $p$ which ramify in the imaginary quadratic field with level subgroup at $p$ given by the stabilizer of a selfdual lattice in the hermitian space. Our construction is given by an explicit resolution of a corresponding local model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14043 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Semi-stable models for some unitary Shimura varieties over ramified primes Zachos, Ioannis Number Theory Algebraic Geometry We consider Shimura varieties associated to a unitary group of signature $(2,n-2)$. We give regular $p$-adic integral models for these varieties over odd primes $p$ which ramify in the imaginary quadratic field with level subgroup at $p$ given by the stabilizer of a selfdual lattice in the hermitian space. Our construction is given by an explicit resolution of a corresponding local model. |
| title | Semi-stable models for some unitary Shimura varieties over ramified primes |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2210.14043 |