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Codimension two nonsingular subvarieties of quadrics: scrolls and classification in degree $d\leq 10$
1998
Journal of the Mathematical Society of Japan
Let $X$ be a codimension two nonsingular subvariety of a nonsingular quadric 2" 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 $n=4$. Introduction. The paper [26] completes the classification of scrolls as codimension two subvarieties of projective space $P^{n}$ . Ottaviani's proof consists of three parts. First the sectional genus $g$ is exhibited as a function of the degree $d$ of
doi:10.2969/jmsj/05040879
fatcat:qeuxd7hxbredhnwvcwhsydebge