2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76095A linear system of real quadratic forms defines a real projective variety. The real non-singular locus of this variety (more precisely of the underlying scheme) has a highly connected double cover as long as each non-zero form in the system has sufficiently high Witt index.13 pagesAlgebraic TopologyAlgebraic Geometry14P25text