2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220755Let X be a smooth complex projective variety of dimension d. We show that its primitive cohomology in degree d is generated by certain "tube classes," constructed from the monodromy of the family of smooth hyperplane sections on X. The proof makes use of a result about the group cohomology of certain representations that may be of independent interest.24 pages; result now holds for arbitrary dimension; uses Paul Taylor's package for commutative diagramsAlgebraic Geometry14F45; 20J06; 14D05text