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Let $(W,S)$ be a Coxeter system, $S$ finite, and let $G_{W}$ be theassociated Artin group. One has configuration spaces $Y,\ Y_{W},$ where$G_{W}=\pi_1(Y_{W}),$ and a natural $W$-covering $f_{W}:\ Y\to Y_{W}.$ TheSchwarz genus $g(f_{W})$ is a natural topological invariant to consider. Inthis paper we generalize this result by computing the Schwarz genus for a classof Artin groups, which includes the affine-type Artin groups. Let $K=K(W,S)$ bethe simplicial scheme of all subsets $J\subset S$ such that the parabolic group$ W_J $ is finite. We introduce the class of groups for which $dim(K)$ equalsthe homological dimension of $K,$ and we show that $g(f_{W})$ is always themaximum possible for such class of groups. For affine Artin groups, suchmaximum reduces to the rank of the group. In general, it is given by$dim(X_{W})+1,$ where $ X_{ W}\subset Y_{ W}$ is a well-known $CW$-complexwhich has the same homotopy type as $ Y_{ W}.$

The genus of the configuration spaces for Artin groups of affine type