判彆式、結式和多維行列式 9787510061455 世界圖書齣版公司 下載 mobi epub pdf 電子書 2024

基本信息

書名：判彆式、結式和多維行列式

定價：79.00元

作者：蓋爾芬德

齣版社：世界圖書齣版公司

齣版日期：2013-10-01

ISBN：9787510061455

字數：

頁碼：

版次：1

裝幀：平裝

開本：24開

商品重量：0.699kg

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內容提要

目錄

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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