Some New Canonical Forms for Polynomials
نویسنده
چکیده
We give some new canonical representations for forms over C. For example, a general binary quartic form can be written as the square of a quadratic form plus the fourth power of a linear form. A general cubic form in (x1, . . . , xn) can be written uniquely as a sum of the cubes of linear forms `ij(xi, . . . , xj), 1 ≤ i ≤ j ≤ n. A general ternary quartic form is the sum of the square of a quadratic form and three fourth powers of linear forms. The methods are classical and elementary.
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