A finiteness theorem for low-codimensional

nonsingular subvarieties of quadrics

Author:
Mark Andrea A. de Cataldo

Journal:
Trans. Amer. Math. Soc. **349** (1997), 2359-2370

MSC (1991):
Primary 14J70, 14M07, 14M10, 14\-M\-15, 14M17, 14M20

DOI:
https://doi.org/10.1090/S0002-9947-97-01736-4

MathSciNet review:
1376545

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**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:
https://doi.org/10.1090/S0002-9947-97-01736-4

Keywords:
Codimension two,
Grassmannians,
lifting,
low codimension,
not of general type,
polynomial bound,
quadrics

Received by editor(s):
November 27, 1995

Article copyright:
© Copyright 1997
American Mathematical Society