Mark Andrea A. de Cataldo
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 .
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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 .
Key concepts: Codimension, Subvariety, Mathematics, Quadric, Invertible matrix, Dimension (graph theory), Degree (music), Pure mathematics