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arXiv · 1508.04703

A rough classification of potentially invertible 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. In the present paper a rough classification scheme for cubic transformations of $\Bbb R^2$ is suggested. It is based on quartic forms associated with these transformations.

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Ruslan Sharipov. 2015-08-19. A rough classification of potentially invertible cubic transformations of the real plane. https://arxiv.org/abs/1508.04703

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