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arXiv · 2507.14356

Strata of toric hyperplane arrangements, zonotope lattice points, and the Bondal-Thomsen collection

Friedrich Bauermeister·Andrew Hanlon·Davis Painter·Sair Shaikh·Benjamin Singer
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Abstract

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 and the dimension of the minimal face of the zonotope containing the corresponding lattice point. We discuss how this correspondence is related to toric varieties and the Bondal-Thomsen generators of their derived categories.

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Friedrich Bauermeister, Andrew Hanlon, Davis Painter, Sair Shaikh, Benjamin Singer. 2025-10-14. Strata of toric hyperplane arrangements, zonotope lattice points, and the Bondal-Thomsen collection. https://arxiv.org/abs/2507.14356

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