Unimodular Valuations beyond Ehrhart
Metric Geometry
2026-01-14 v1 Combinatorics
Abstract
A complete classification of unimodular valuations on the set of lattice polygons with values in the spaces of polynomials and formal power series, respectively, is established. The valuations are classified in terms of their behaviour with respect to dilation using extensions to unbounded polyhedra and basic invariant theory.
Keywords
Cite
@article{arxiv.2407.07691,
title = {Unimodular Valuations beyond Ehrhart},
author = {Ansgar Freyer and Monika Ludwig and Martin Rubey},
journal= {arXiv preprint arXiv:2407.07691},
year = {2026}
}