PreprintarXiv licencearXiv
Positive Geometries from Cubic Surfaces
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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BibTeX
@misc{sturmfels2026positive,
title = {{Positive Geometries from Cubic Surfaces}},
author = {Bernd Sturmfels and Simon Telen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.11909},
eprint = {2605.11909},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.11909},
}
RIS
TY - UNPB
TI - Positive Geometries from Cubic Surfaces
AU - Bernd Sturmfels
AU - Simon Telen
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2605.11909
UR - https://arxiv.org/abs/2605.11909
AB - 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.
ER -