Intermediate extension of Chow motives of abelian type (Q340416)

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scientific article; zbMATH DE number 6652649
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Intermediate extension of Chow motives of abelian type
scientific article; zbMATH DE number 6652649

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    Intermediate extension of Chow motives of abelian type (English)
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    14 November 2016
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    Let \(X\) be a base scheme. The conjectural existence of a \(t\)-structure would imply the existence of the intermediate extension to \(X\) of any Chow motive over an open subscheme of \(X\). This paper gives an unconditional construction of intermediate extensions, independent of \(t\)-structures, in a context which includes the extension from a Shimura variety to its Baily-Borel compactification, of Chow motives associated to Kuga families of abelian varieties.
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    weight structures
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    semi-primary categories
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    Chow motives
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    motivic intermediate extension
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    Shimura varieties
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    Kuga families
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