A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics
Abstract
We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics n which are not of general type, for n=5 and n≥ 7. We prove a similar statement also for the case of higher codimension. The case n=6 has been recently settled by Fania-Ottaviani. Keywords: Codimension two, Grassmannians, Lifting, Low codimension, Not of General Type, Polynomial Bound, Quadrics
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