Classification of ordered nonsingular configurations of at most seven lines of $\mathbb RP^3$ up to rigid isotopy

A projective $m$-configuration is a collection of $m$ nonoriented pairwise disjoint lines in $\mathbb RP^3$. An isotopy consisting of projective $m$-configurations is called a rigid isotopy. In the paper, the rigid isotopy classification of ordered projective $m$-configurations is obtained for $m\le7$. Bibl. 11 titles.