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Results tagged with elimination-theory
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Elimination theory is the study of necessary and sufficient conditions for polynomial equations (E) to have solutions.In the homogeneous case, if the number of variables is equal to the number of equations, this leads to the study of the Resultant (polynomial in the coefficients of (E), obtained by "eliminating" the variables ). In the general case, one get a Resultant ideal, generated by polynomial relations in the coefficients of the equations (E).
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$n-1$ quadratic forms for $n$ variables
It turns out this paper has a lot of useful information on resultants (more than enough to answer the original question): Morozov and Shakirov - Analogue of the identity Log Det = Trace Log for result …
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