Titlebook: Discriminants, Resultants, and Multidimensional Determinants; Israel M. Gelfand,Mikhail M. Kapranov,Andrei V. Ze Book 1994 Springer Scienc

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Associated Varieties and General Resultants vector subspaces in C. correspond to projective subspaces in .., we see that .(.) parametrizes (.−1)-dimensional projective subspaces in ... In a more invariant fashion, we can start from any finite-dimensional vector space . and construct the Grassmannian .(.) of .dimensional vector subspaces in ..

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Triangulations and Secondary Polytopesertain class of polytopes, called ., whose vertices correspond to certain triangulations of a given convex polytope. These polytopes will play a crucial role later in the study of the Newton polytopes of discriminants and resultants. The constructions in this chapter are quite elementary.

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https://doi.org/10.1007/978-0-8176-4771-1algebra; algebraic geometry; elimination theory; geometry; hyperdeterminants; mathematics; polytopes; resul

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Israel M. Gelfand,Mikhail M. Kapranov,Andrei V. ZeThe definitive text on eliminator theory.Revives the classical theory of resultants and discriminants.Presents both old and new results of the theory

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Modern Birkhäuser Classicshttp://image.papertrans.cn/e/image/281221.jpg

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Discriminants, Resultants, and Multidimensional Determinants

思考而得

Projective Dual Varieties and General Discriminants∈ C, which are not all equal to 0 and are regarded modulo simultaneous multiplication by a non-zero number. More generally, if . is a finite-dimensional complex vector space, then we denote by .(.) the projectivization of ., i.e., the set of 1-dimensional vector subspaces in .. Thus .. = .(C.).