Codimension two nonsingular subvarieties of quadrics: scrolls and classification in degree $d\leq 10$

Details Codimension two nonsingular subvarieties of quadrics: scrolls and classification in degree $d\leq 10$ Codimension two nonsingular subvarieties of quadrics: scrolls and classification in degree $d\leq 10$

1996-08-21

arxiv.org/abs/alg-geom/9608021v1

Mathematics

Algebraic Geometry

Latex; 20 pages

Scientific paper

Let $X$ 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 bundle

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