S Brauner, C Eur, E Pratt, R Vlad - arXiv preprint arXiv:2403.04610, 2024 - arxiv.org
Positive geometries were introduced by Arkani-Hamed--Bai--Lam as a method of computing scattering amplitudes in theoretical physics. We show that a positive geometry from a …
D Antolini, N Early - arXiv preprint arXiv:2411.07293, 2024 - arxiv.org
Recent developments in particle physics have revealed deep connections between scattering amplitudes and tropical geometry. At the heart of this relationship are the …
F Brown, C Dupont - arXiv e-prints, 2025 - ui.adsabs.harvard.edu
Abstract''Positive geometries''are a class of semi-algebraic domains which admit a unique''canonical form'': a logarithmic form whose residues match the boundary structure of …
Abstract (EN) In recent years, algebraic geometry (both complex and real) has proven to be useful in numerous applications in optimization, statistics, quantum information, and physics …