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Integral models in unramified mixed characteristic $$(0,2)$$ of Hermitian orthogonal Shimura varieties of PEL type. I. (English) Zbl 1357.11062
Summary: Let $$(G,\mathcal X)$$ be a Shimura variety of PEL type such that $$G_{\mathbb Q_2}$$ is a split $$\mathrm{GSO}_{2n}$$ group with $$n\geq 2$$. We prove the existence of the integral canonical models of $$\mathrm{Sh}(G,\mathcal X)/H_2$$ in unramified mixed characteristic $$(0,2)$$, where $$H_2$$ is a hyperspecial subgroup of $$G(\mathbb Q_2)$$.
For Part II see Math. Nachr. 287, No. 14-15, 1756–1773 (2014; Zbl 1305.11056).

##### MSC:
 11G18 Arithmetic aspects of modular and Shimura varieties 11G10 Abelian varieties of dimension $$> 1$$ 11G15 Complex multiplication and moduli of abelian varieties 14G35 Modular and Shimura varieties
Zbl 1305.11056
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