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arXiv · 2210.14043

Semi-stable models for some unitary Shimura varieties over ramified primes

Ioannis Zachos
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Abstract

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.

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Ioannis Zachos. 2022-10-25. Semi-stable models for some unitary Shimura varieties over ramified primes. https://doi.org/10.2140/ant.2024.18.1715

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