Semi-stable models for unitary Shimura varieties over ramified places. I. The even dimensional case
| Autor: | Zachos, Ioannis, Zhao, Zhihao |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 is given by an explicit resolution of a corresponding local model. Comment: 32 pp. Subsection 6.1 from v1 was removed in this version. arXiv admin note: text overlap with arXiv:2210.14043 |
| Databáze: | arXiv |
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