A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics

de Cataldo, Mark

doi:10.1090/S0002-9947-97-01736-4

A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics
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by Mark Andrea A. de Cataldo PDF

Trans. Amer. Math. Soc. 349 (1997), 2359-2370 Request permission

Abstract:

We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics $\mathcal {Q}^{n}$ which are not of general type, for $n=5$ and $n\geq 7$. We prove a similar statement also for the case of higher codimension.

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