Rational points of fixed denominator in real toric arrangements
Combinatorics
2026-02-16 v2 Algebraic Geometry
Abstract
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 consequence, we give a sufficient condition on for the degree Frobenius pushforward of the structure sheaf on a smooth toric variety to contain all possible summands in the Picard group.
Keywords
Cite
@article{arxiv.2408.07164,
title = {Rational points of fixed denominator in real toric arrangements},
author = {Andrew Hanlon and Davis Painter},
journal= {arXiv preprint arXiv:2408.07164},
year = {2026}
}
Comments
8 pages, 2 figures, v2:minor updates in exposition