## An automorphic classification of real cubic curves.(English)Zbl 1452.14021

Summary: The action of ring automorphisms of $$\mathbb{R}[x, y]$$ on real plane curves is considered. The orbits containing degree-three polynomials are computed, with one representative per orbit being selected.

### MSC:

 14H10 Families, moduli of curves (algebraic) 14P05 Real algebraic sets 14R10 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) 14H37 Automorphisms of curves

### Keywords:

real cubic curves; automorphisms; classification
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### References:

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