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
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978-0-8218-3225-7 (9780821832257)
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(Kyushu University, Fukuoka, Japan)
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.