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.
Weber, Leray spectral sequence for complements of certain arrangements of smooth submanifolds, Configuration spaces, Springer INdAM Ser., vol
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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.