判别式、结式和多维行列式 9787510061455 世界图书出版公司 下载 mobi epub pdf 电子书 2024

基本信息

书名：判别式、结式和多维行列式

定价：79.00元

作者：盖尔芬德

出版社：世界图书出版公司

出版日期：2013-10-01

ISBN：9787510061455

字数：

页码：

版次：1

装帧：平装

开本：24开

商品重量：0.699kg

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目录

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 plexes
2, Discriminantai plexes
3, The degree and the dimension of the dual
4. Discriminantal plexes 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
……

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