判别式.结式和多维行列式_PDF下载[91MB-百度云]盖尔芬德著

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《判别式、结式和多维行列式(英文)》由世界图书出版社出版。

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prefaceintroductioni. general discriminants and resultantschapter i. projective dual varieties and generaldiscriminantsi. definitions and basic examples2. duality for plane curves3. the incidence variety and the proof of the bidualitytheorem4. further examples and properties of projective duality5. the katz dimension formula and its applicationschapter 2. the cayley method for studying discriminants1. jet bundles and koszul complexes2, discriminantai complexes3, the degree and the dimension of the dual4. discriminantal complexes in terms of differential forms5. the discriminant as the determinant of a spectral sequencechapter 3. associated varieties and general resultants 1. grassmannians. preliminary material2. 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……