Projective theory of graphs and configurations of lines

The spaces of disjoint configurations of $k$-dimensional subspaces in $\mathbb RP^{2k+1}$ (for example, lines in $\mathbb RP^3$) are studied. These spaces are modeled by various simplicial schemes, and the homology groups of the latter are computed in certain cases. We use the fact that every configuration can be assigned a so-called projective graph, which is a class of graphs with respect to a certain equivalence relation. Bibl. 5 titles.