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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…
math.CO2024
Rational points of fixed denominator in real toric arrangements
Andrew Hanlon, Davis Painter
We give a sufficient condition on a positive integer for every stratum of a given real toric hyperplane arrangement to contain a rational point of denominator . As a consequ…