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Classification of cubics up to affine transformations

Mehdi Nadjafikhah
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Abstract

Classification of cubics (that is, third order planar curves in the $R^2$ up to certain transformations is interested since Newton, and treated by several authors. We classify cubics up to affine transformations, in seven class, and give a complete set of representatives of the these classes. This result is complete and briefer than the similar results.

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Mehdi Nadjafikhah. 2005-07-19. Classification of cubics up to affine transformations. https://arxiv.org/abs/math/0507383

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