Title: Codimension two nonsingular subvarieties of quadrics: scrolls and classification in degree d≤10
Abstract: Let X be a codimension two nonsingular subvariety of a nonsingular quadric L2 of dimension n ≥ 5 . We classify such subvarieties when they are scrolls. We also classify them when the degree d ≤ 1 0 . Both results were known when n = 4 .