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- W1504776553 abstract "A homogeneous polynomial S(x_1, ..., x_n) of degree r in n variables posesses a discriminant D_{n|r}(S), which vanishes if and only if the system of equations dS/dx_i = 0 has non-trivial solutions. We give an explicit formula for discriminants of symmetric (under permutations of x_1, ..., x_n) homogeneous polynomials of degree r in n >= r variables. This formula is division free and quite effective from the computational point of view: symbolic computer calculations with the help of this formula take seconds even for n ~ 20. We work out in detail the cases r = 2,3,4 which will be probably important in applications. We also consider the case of completely antisymmetric polynomials." @default.
- W1504776553 created "2016-06-24" @default.
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- W1504776553 date "2009-10-30" @default.
- W1504776553 modified "2023-09-27" @default.
- W1504776553 title "Discriminants of Symmetric Polynomials" @default.
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