《判别式结式和多维行列式》以全新的方式讲述了结式和判别式的经典理论。书中好多重要的新的结果在作者早期的众多文章中都已经面世过，本书巧妙合理地将这些新旧理论衔接起来，使之成为一本经典的著作。读者对象：数学专业的高年级本科生、研究生和相关的科研人员。本书由盖尔芬德著。

Preface

Introduction

I. GENERAL DISCRIMINANTS AND RESULTANTS

CHAPTER I. Projective Dual Varieties and GeneralDiscriminants

I. Definitions and basic examples

2. Duality for plane curves

3. The incidence variety and the proof of the bidualitytheorem

4. Further examples and properties of projective duality

5. The Katz dimension formula and its applications

CHAPTER 2. The Cayley Method for Studying Discriminants

1. Jet bundles and Koszul complexes

2, Discriminantai complexes

3, The degree and the dimension of the dual

4. Discriminantal complexes in terms of differential forms

5. The discriminant as the determinant of a spectral sequence

CHAPTER 3. Associated Varieties and General Resultants

1. Grassmannians. Preliminary material

2. Associated hypersurfaces

3. Mixed resultants

4. The Cayley method for the study of resultants

CHAPTER 4. Chow Varieties

1. Definitions and main properties

2. 0-cycles, factorizable forms and symmetric products

3. Cayley-Green-Morrison equations of Chow varieties