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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
Citations:
Zbl 1305.11056
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