Discriminants, Resultants, and Multidimensional Determinants

ISBN: 978-0-8176-4770-4 (Print) 978-0-8176-4771-1 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-x

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-10

      Introduction

  3. General Discriminants and Resultants

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-47

      Projective Dual Varieties and General Discriminants

    3. No Access

      Book Chapter

      Pages 48-90

      The Cayley Method for Studying Discriminants

    4. No Access

      Book Chapter

      Pages 91-121

      Associated Varieties and General Resultants

    5. No Access

      Book Chapter

      Pages 122-161

      Chow Varieties

  4. A-Discriminants and A-Resultants

    1. Front Matter

      Pages 163-163

    2. No Access

      Book Chapter

      Pages 165-192

      Toric Varieties

    3. No Access

      Book Chapter

      Pages 193-213

      Newton Polytopes and Chow Polytopes

    4. No Access

      Book Chapter

      Pages 214-251

      Triangulations and Secondary Polytopes

    5. No Access

      Book Chapter

      Pages 252-270

      A-Resultants and Chow Polytopes of Toric Varieties

    6. No Access

      Book Chapter

      Pages 271-296

      A-Discriminants

    7. No Access

      Book Chapter

      Pages 297-343

      Principal A-Determinants

    8. No Access

      Book Chapter

      Pages 344-393

      Regular A-Determinants and A-Discriminants

  5. Classical Discriminants and Resultants

    1. Front Matter

      Pages 395-395

    2. No Access

      Book Chapter

      Pages 397-425

      Discriminants and Resultants for Polynomials in One Variable

    3. No Access

      Book Chapter

      Pages 426-443

      Discriminants and Resultants for Forms in Several Variables

    4. No Access

      Book Chapter

      Pages 444-479

      Hyperdeterminants

  6. Back Matter

    Pages 480-523