On the complexes of two-dimensional planes in the projective space with a single critical line (Q1390485)

The author continues his study of complexes \(K_0\) of 2-planes in an \(n\)-dimensional projective space \(P^n\) introduced in [\textit{S. A. Laktionov}, Sov. Math. 35, 77-78 (1991; Zbl 0736.53006)]. In the paper under review, he considers special classes of complexes \(K_0\), each 2-plane of which bears a unique critical straight line. This straight line generates a family of straight lines. Using this family, the author clarifies the structure of the complexes \(K_0\) in question.