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.
Rodr\'iguez Gonz\'alez and A
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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.