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math.CO2026★ 2 cited
Positive del Pezzo Geometry
Nick Early, Alheydis Geiger, Marta Panizzut +2
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…
math.CO2025
Honeycomb Tessellations and Graded Permutohedral Blades
Nick Early
This paper investigates enumerative aspects of permutohedral blades, which provide a generalization of the notion of the tropical hyperplane arrangement. Blade provide the combinat…
math.CO2024
Generalized permutohedra in the kinematic space
Nick Early
In this note, we study the permutohedral geometry of the poles of a certain differential form introduced in recent work of Arkani-Hamed, Bai, He and Yan. There it was observed that…