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Discriminants, Resultants and Multidimensional Determinants /

"This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating bo...

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Bibliographic Details
Main Author: Gelfand, Israel M.
Corporate Author: SpringerLink (Online service)
Other Authors: Kapranov, Mikhail M., Zelevinsky, Andrei V.
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston, 1994.
Series:Mathematics (Boston, Mass.)
Subjects:
Mathematics.
Algebra.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Introduction
  • General Discriminants and Resultants
  • Projective Dual Varieties and General Discriminants
  • The Cayley Method of Studying Discriminants
  • Associated Varieties and General Resultants
  • Chow Varieties
  • Toric Varieties
  • Newton Polytopes and Chow Polytopes
  • Triangulations and Secondary Polytopes
  • A-Resultants and Chow Polytopes of Toric Varieties
  • A-Discriminants
  • Principal A-Discriminants
  • Regular A-Determinants and A-Discriminants
  • Classical Discriminants and Resultants
  • Discriminants and Resultants for Polynomials in One Variable
  • Discriminants and Resultants for Forms in Several Variables
  • Hyperdeterminants
  • Appendix A. Determinants
  • Appendix B.A. Cayley: On the Theory of Elimination
  • Bibliography
  • Notes and References
  • List of Notation
  • Index.