Classification of cubics up to affine transformations

Details Classification of cubics up to affine transformations Classification of cubics up to affine transformations

2005-07-19

arxiv.org/abs/math/0507383v1

Differential Geometry - Dynamical Systems, Vol.8, 2006, pp. 184-195

Mathematics

Differential Geometry

14 pages

Scientific paper

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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