2 papers
math.AG2026
The algebraic geometry of 3-by-3 magic squares of squares
Asher Auel, Benjamin Singer
The question of whether a 3-by-3 magic square of squares with distinct integer entries exists has been open since the 18th century. We study the geometry of the algebraic surface p…
math.CO2025
Strata of toric hyperplane arrangements, zonotope lattice points, and the Bondal-Thomsen collection
Friedrich Bauermeister, Andrew Hanlon, Davis Painter +2
We show that strata of oriented toric hyperplane arrangements are in bijection with a collection of lattice points in a zonotope. Moreover, we relate the dimension of the stratum a…