Discriminants, resultants and multidimensional determinants

By: Israel M. GelfandContributor(s): Mikhail M. Kapranov | Andrei V. ZelevinskyMaterial type: TextTextPublication details: New York: Springer Science + Business Media, LLC, [c1994]Description: 523 pISBN: 9780817647704LOC classification: QA199
Contents:
Introduction Part- I General Discriminants and Resultants 1. Projective Dual Varieties and General Discriminants 2. The Cayley Method for Studying Discriminants 3. Associated Varieties and General Resultants 4. Chow Varieties Part - II A-Discriminants and A-Resultants 5. Toric Varieties 6. Newton Polytopes and Chow Polytopes 7. Triangulations and Secondary Polytopes 8. A-Resultants and Chow Polytopes of Toric Varieties 9. A-Discriminants 10. Principal A-Determinants 11. Regular A-Determinants and A-Discriminants Part - III Classical Discriminants and Resultants 12. Discriminants and Resultants for Polynomials in One Variable 13. Discriminants and Resultants for Forms in Several Variables 14. Hyperdeterminants
Summary: 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 both old and new results of the theory. --- summary provided by publisher.
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA199 (Browse shelf (Opens below)) Available Billno: 42677 ; Billdate: 25.02.2019 01787
Total holds: 0

Introduction

Part- I General Discriminants and Resultants
1. Projective Dual Varieties and General Discriminants
2. The Cayley Method for Studying Discriminants
3. Associated Varieties and General Resultants
4. Chow Varieties

Part - II A-Discriminants and A-Resultants
5. Toric Varieties
6. Newton Polytopes and Chow Polytopes
7. Triangulations and Secondary Polytopes
8. A-Resultants and Chow Polytopes of Toric Varieties
9. A-Discriminants
10. Principal A-Determinants
11. Regular A-Determinants and A-Discriminants

Part - III Classical Discriminants and Resultants
12. Discriminants and Resultants for Polynomials in One Variable
13. Discriminants and Resultants for Forms in Several Variables
14. Hyperdeterminants

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 both old and new results of the theory. --- summary provided by publisher.

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