Transactions of the American Mathematical Society

Author(s): Mark Andrea A. de Cataldo
Journal: Trans. Amer. Math. Soc. 349 (1997), 2359-2370.
MSC (1991): Primary 14J70, 14M07, 14M10, 14M15, 14M17, 14M20
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 14J70, 14M07, 14M10, 14M15, 14M17, 14M20

Mark Andrea A. de Cataldo
Affiliation: Department of Mathematics, Washington University in St. Louis, Campus Box 1146, St. Louis, Missouri 63130-4899
Email: mde@math.wustl.edu

DOI: 10.1090/S0002-9947-97-01736-4
PII: S 0002-9947(97)01736-4
Keywords: Codimension two, Grassmannians, lifting, low codimension, not of general type, polynomial bound, quadrics
Received by editor(s): November 27, 1995
Copyright of article: Copyright 1997, American Mathematical Society

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