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arXiv · 2102.02687

Regular integral models for Shimura varieties of orthogonal type

Georgios Pappas·Ioannis Zachos
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Abstract

We consider Shimura varieties for orthogonal or spin groups acting on hermitian symmetric domains of type IV. We give regular p-adic integral models for these varieties over odd primes p at which the level subgroup is the connected stabilizer of a vertex lattice in the orthogonal space. Our construction is obtained by combining results of Kisin and the first author with an explicit presentation and resolution of a corresponding local model.

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Georgios Pappas, Ioannis Zachos. 2021-02-04. Regular integral models for Shimura varieties of orthogonal type. https://arxiv.org/abs/2102.02687

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