2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150190Let $X$ be a codimension two nonsingular subvariety of a nonsingular quadric $\Q{n}$ of dimension $n\geq 5$. We classify such subvarieties when they are scrolls. We also classify them when the degree $d\leq 10$. Both results were known when $n=4$. Keywords: Classification; liaison; low codimension; low degree; quadric; scroll; vector bundleLatex; 20 pagesAlgebraic Geometry14C05, 14F05, 14H45, 14J10, 14J28, 14J40, 14J60, 14M06,14M07, 14M17text