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The Chow Motives of Relative Fulton-Macpherson Space

Fumitoshi Sato

Abstract


Suppose that $X$ is a complex nonsingular projective variety and $D$ is a smooth divisor. Compactifications of configuration spaces of distinct and non-distinct $n$ points in $X$ away from $D$ were constructed by the author and B. Kim in "A generalization of Fulton-MacPherson configuration spaces" by using the method of wonderful compactification. In this paper, we give explicit presentations of Chow motives and Chow groups of these configuration spaces.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15479

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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