Abstract
Let Mn,m;Fℙn be the configuration space of m-tuples of pairwise distinct points in Fℙn, that is, the quotient of the set of m-tuples of pairwise distinct points in Fℙn with respect to the diagonal action of PU(1,n;F) equipped with the quotient topology. In this paper, by mainly using the rotation-normalized and the block-normalized algorithms, we construct the parameter spaces of both Mn,m;∂Hℍn and Mn,m;ℙ(V+), respectively.
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