An Automorphic Classification of Real Cubic Curves

2019/08/14 by Bly, Mark
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.05173

Abstract

The action of ring automorphisms of the polynomial ring in two variables over the real numbers on real plane curves is considered. The orbits containing degree-three polynomials are computed, with one representative per orbit being selected.

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• Automorphism group of plane curve computed by Galois points, II
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• Automorphism groups of smooth plane curves
• Automorphisms of Plane Curves defined from Chebychev polynomials