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

Mark Andrea A. de Cataldo
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Abstract

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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Mark Andrea A. de Cataldo. 1996-08-21. Codimension two nonsingular subvarieties of quadrics: scrolls and classification in degree $d\leq 10$. https://arxiv.org/abs/alg-geom/9608021

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