Inductive characterizations of hyperquadrics

Details Inductive characterizations of hyperquadrics Inductive characterizations of hyperquadrics

2007-05-21

arxiv.org/abs/0705.2927v1

Mathematics

Algebraic Geometry

Scientific paper

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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