Positive del Pezzo Geometry
Combinatorics
2026-05-12 v3 High Energy Physics - Theory
Algebraic Geometry
Abstract
Real, complex, and tropical algebraic geometry join forces in a new branch of mathematical physics called positive geometry. We develop the positive geometry of del Pezzo surfaces and their moduli spaces, viewed as very affine varieties. Their connected components are derived from polyhedral spaces with Weyl group symmetries. We study their canonical forms and scattering amplitudes, and we solve the likelihood equations.
Keywords
Cite
@article{arxiv.2306.13604,
title = {Positive del Pezzo Geometry},
author = {Nick Early and Alheydis Geiger and Marta Panizzut and Bernd Sturmfels and Claudia He Yun},
journal= {arXiv preprint arXiv:2306.13604},
year = {2026}
}
Comments
37 pages, 4 figures; updated acknowledgement