The Chow Motives of Relative Fulton-Macpherson Space

• Autores: Fumitoshi Sato
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 113, Nº 1, 2013, págs. 20-29
• Idioma: inglés
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• Resumen

  • 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.