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Segre's Reflexivity and an Inductive Characterization of Hyperquadrics
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Introduction. The universal pseudo-quotient for a family of subvarieties. Normal bundles of quadrics in X. Morphisms from quadrics to Grassmannians. Pointwise uniform vector bundles on non-singular quadrics. Theory of extensions of families over Hilbert schemes. Existence of algebraic quotient-proof of Theorem 0.3. Appendix. Deformations of vector bundles on infinitesimally rigid projective varieties with null global i-forms. References