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arxiv: 0705.2927 · v1 · submitted 2007-05-21 · 🧮 math.AG

Inductive characterizations of hyperquadrics

classification 🧮 math.AG
keywords characterizationshyperquadricslargedefectsdimensionalgiveinductivelqel
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We give two characterizations of hyperquadrics: one as non-degenerate smooth projective varieties swept out by large dimensional quadric subvarieties passing through a point; the other as $LQEL$-manifolds with large secant defects.

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