Inductive characterizations of hyperquadrics

Baohua Fu (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

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.

Domaines: Géométrie algébrique [math.AG]

Baohua Fu. Inductive characterizations of hyperquadrics. Mathematische Annalen, 2008, 340 (1), pp.185--194. ⟨hal-00147742⟩