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Classification of cubics up to affine transformations

Research paper by Mehdi Nadjafikhah

Indexed on: 19 Jul '05Published on: 19 Jul '05Published in: Mathematics - Differential Geometry



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.