3 papers
math.CO2026
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…
math.AG2025
The geometric Merkurjev-Panin Conjecture for the Cox category
Daniel Erman, Andrew Hanlon, Gaku Liu +1
We show that a strong version of the geometric Merkurjev-Panin conjecture holds for the Cox category of a projective toric variety. That is, we prove that the full strong exception…
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…