On quartic forms associated with cubic transformations of the real plane

Ruslan Sharipov

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arXiv · 1508.03005

On quartic forms associated with cubic transformations of the real plane

Ruslan Sharipov

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Abstract

A polynomial transformation of the real plane $\Bbb R^2$ is a mapping $\Bbb R^2\to\Bbb R^2$ given by two polynomials of two variables. Such a transformation is called cubic if the degrees of its polynomials are not greater than three. It turns out that cubic transformations are associated with some binary and quaternary quartic forms. In the present paper these forms are defined and studied.

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Ruslan Sharipov. 2015-08-12. On quartic forms associated with cubic transformations of the real plane. https://arxiv.org/abs/1508.03005

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