Positive Geometries from Cubic Surfaces
Algebraic Geometry
2026-05-13 v1 High Energy Physics - Theory
Combinatorics
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.
Cite
@article{arxiv.2605.11909,
title = {Positive Geometries from Cubic Surfaces},
author = {Bernd Sturmfels and Simon Telen},
journal= {arXiv preprint arXiv:2605.11909},
year = {2026}
}
Comments
38 pages, 9 figures