Special homogeneous curves

David Lindemann

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arXiv · 2208.06890

Special homogeneous curves

David Lindemann

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Abstract

We classify all special homogeneous curves. A special homogeneous curve $\mathcal{H}$ consists of connected components of the hyperbolic points in the level set $\{h=1\}$ of a homogeneous polynomial $h$ in two real variables of degree at least three, and admits a transitive group action of a subgroup $G\subset\mathrm{GL}(2)$ on $\mathcal{H}$ that acts via linear coordinate change.

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David Lindemann. 2022-08-14. Special homogeneous curves. https://arxiv.org/abs/2208.06890

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