Israel M. Gelfand

Discriminants, resultants and multidimensional determinants - New York: Springer Science + Business Media, LLC, [c1994] - 523 p

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.

9780817647704

QA199