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Positive Geometries from Cubic Surfaces
Bernd Sturmfels, Simon Telen · 2026-05-12 · via math.CO updates on arXiv.org

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.