Algebraic models are given for the tame homotopy type of configuration spaces of Tate-type varieties using weights in étale cohomology, with extensions to arrangement complements in tame and rational settings.
Mandell, Cochains and homotopy type, Publications Math \'e matiques de l'Institut des Hautes \'E tudes Scientifiques 103 (2006), no
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On the l-adic homotopy type of configuration spaces
Algebraic models are given for the tame homotopy type of configuration spaces of Tate-type varieties using weights in étale cohomology, with extensions to arrangement complements in tame and rational settings.