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Codimension two nonsingular subvarieties of quadrics: Scrolls and classification in degree \(d\leq 10\) - MaRDI portal

Codimension two nonsingular subvarieties of quadrics: Scrolls and classification in degree \(d\leq 10\) (Q1298036)

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Codimension two nonsingular subvarieties of quadrics: Scrolls and classification in degree \(d\leq 10\)
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    Codimension two nonsingular subvarieties of quadrics: Scrolls and classification in degree \(d\leq 10\) (English)
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    10 November 1999
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    Let \(X\) be a codimension two nonsingular subvariety of a nonsingular quadric \({\mathcal Q}^{n}\) 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 \(n=4\).
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    liaison
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    low codimension
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    low degree
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    quadric
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    scroll
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    vector bundle
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