The Chow motives of relative Fulton-MacPherson space (Q2857590)

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scientific article; zbMATH DE number 6222385
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The Chow motives of relative Fulton-MacPherson space
scientific article; zbMATH DE number 6222385

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    5 November 2013
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    projective algebraic variety
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    configuration space
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    Chow group
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    Chow motive
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    The Chow motives of relative Fulton-MacPherson space (English)
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    Let \(X\) be a complex nonsingular projective algebraic variety. The author gives the explicit presentations of Chow motives and Chow groups of the configuration spaces of distinct and non-distinct \(n\) points of \(X\) that are away from a smooth divisor \(D\) (these spaces are constructed in [\textit{B. Kim} and \textit{F. Sato}, Sel. Math., New Ser. 15, No. 3, 435--443 (2009; Zbl 1177.14029)]).
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