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A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics |
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| Authors: | Mark Andrea A. de Cataldo |
| Affiliation: | Department of Mathematics, Washington University in St. Louis, Campus Box 1146, St. Louis, Missouri 63130-4899 |
| Abstract: | We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics  which are not of general type, for  and  . We prove a similar statement also for the case of higher codimension. |
| Keywords: | Codimension two Grassmannians lifting low codimension not of general type polynomial bound quadrics |
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