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Inductive characterizations of hyperquadrics

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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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  1. C.N.R.S., Labo. J. Leray, Faculté des sciences, Université de NANTES 2, Rue de la Houssinière, BP 92208, 44322, Nantes Cedex 03, France

    Baohua Fu

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  1. Baohua Fu
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Fu, B. Inductive characterizations of hyperquadrics. Math. Ann. 340, 185–194 (2008). https://doi.org/10.1007/s00208-007-0143-x

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  • DOI: https://doi.org/10.1007/s00208-007-0143-x

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