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Segre's Reflexivity and an Inductive Characterization of Hyperquadrics
Yasuyuki Kachi, University of Tennessee, Knoxville, TN, and Eiichi Sato, Kyushu University, Fukuoka, Japan

Memoirs of the American Mathematical Society
2002; 116 pp; softcover
Volume: 160
ISBN-10: 0-8218-3225-5
ISBN-13: 978-0-8218-3225-7
List Price: US$62
Individual Members: US$37.20
Institutional Members: US$49.60
Order Code: MEMO/160/763
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Graduate students and research mathematicians interested in algebraic geometry.

Table of Contents

  • 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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