Integral models in unramified mixed characteristic \((0,2)\) of Hermitian orthogonal Shimura varieties of PEL type. II. (Q2929433)
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scientific article; zbMATH DE number 6368942
| Language | Label | Description | Also known as |
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| English | Integral models in unramified mixed characteristic \((0,2)\) of Hermitian orthogonal Shimura varieties of PEL type. II. |
scientific article; zbMATH DE number 6368942 |
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12 November 2014
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Shimura varieties
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integral models
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abelian schemes
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2-divisible groups
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\(F\)-crystals
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reductive and orthogonal group schemes
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involutions.
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Integral models in unramified mixed characteristic \((0,2)\) of Hermitian orthogonal Shimura varieties of PEL type. II. (English)
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The paper under review is a continuation of an earlier work [J. Ramanujan Math. Soc. 27, No. 4, 425--477 (2012; Zbl 1357.11062)] of the author. Its main goal is to prove the existence of integral canonical models of the so-called hermitian orthogonal Shimura varieties of PEL type in unramified mixed characteristic \((0,2)\). These PEL Shimura varieties are moduli spaces of polarized abelian schemes equipped with a suitable endomorphism algebra and level structure. The method in the paper is somehow standard -- to prove the regularity and formal smoothness of the normalization of the schematic closure of a natural subscheme; however the technique is of high level.
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