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Segre’s reflexivity and an inductive characterization of hyperquadrics

About this Title

Yasuyuki Kachi and Eiichi Sato

Publication: Memoirs of the American Mathematical Society
Publication Year 2002: Volume 160, Number 763
ISBNs: 978-0-8218-3225-7 (print); 978-1-4704-0361-4 (online)
MathSciNet review: 1938329
MSC: Primary 14N05; Secondary 14C05, 14E05, 14E30

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Table of Contents


  • 0. Introduction
  • 1. The universal pseudo-quotient for a family of subvarieties
  • 2. Normal bundles of quadrics in $X$ — The splitting type on lines
  • 3. Morphisms from quadrics to Grassmannians
  • 4. Pointwise uniform vector bundles on non-singular quadrics
  • 5. Theory of extensions of families over Hilbert schemes
  • 6. Existence of algebraic quotient — proof of Theorem 0.3