Configuratrix and resultant 2009jav | N.S. Perminov // Kasan State University, Kazan, Russia, nikolai-kazan@rambler.ru
In this paper, we obtain an explicit expression for the resultant of $n$ quadratic algebraic equations $\{\partial_{1}S = 0, \ldots, \partial_{n}S=0\}$, where $S$ is a cubic polynomial in $n$ variables, symmetric under permutations of its arguments. Application of this result to the study of Finslerian spaces is discussed.
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