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

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書目名稱Discriminants, Resultants, and Multidimensional Determinants影響因子(影響力)




書目名稱Discriminants, Resultants, and Multidimensional Determinants影響因子(影響力)學(xué)科排名




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Toric Varietiesoses. Since there are several references available on the subject [D] [Fu 2] [O], we did not attempt to be exhaustive or self-contained. Our exposition is organized “from the special to the general” so that the general description of toric varieties in terms of fans appears at the very end of the chapter.

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Regular A-Determinants and A-Discriminantsg the polynomials Δ. and .. that allows us to recover Δ. as as an alternating product of the ... Consequently, alternating sums and products will appear in the expressions for the Newton polytope and coefficients of Δ..

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Discriminants and Resultants for Forms in Several Variablesvery special cases. The methods developed in Parts I and II help to put this and other questions in a general perspective. Without pretending to be complete, we present an overview of some fairly classical results together with more fresh developments.

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The Cayley Method for Studying Discriminantsl Δ.. The method goes back to the remarkable paper by Cayley [Ca4] on elimination theory, in which the foundations were laid for what is now called homological algebra. The Cayley method can also be applied to other similar problems, such as finding resultants (see Chapter 3).