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arXiv · 2605.11909

Positive Geometries from Cubic Surfaces

Bernd Sturmfels·Simon Telen
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Abstract

We present a study of cubic surfaces from the novel perspective of positive geometry. Our positive geometries have dimension two (the surface minus its 27 lines), dimension three (its complement in 3-space), and dimension four (the moduli space). In each case we explore the positive arrangement, its combinatorial rank, and the canonical forms.

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Bernd Sturmfels, Simon Telen. 2026-05-12. Positive Geometries from Cubic Surfaces. https://arxiv.org/abs/2605.11909

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