Title:
Unimodular valuations beyond Ehrhart
Author(s):
Freyer, Ansgar; Ludwig, Monika; Rubey, Martin
Year of publication:
2025
Available Date:
2025-11-24T07:34:06Z
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 behavior with respect to dilation using extensions to unbounded polyhedra and basic invariant theory.
Part of Identifier:
e-ISSN (online): 2050-5094
Keywords:
Lattice polytopes
Dissections and valuations
Combinatorial aspects of representation theory
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Forum of Mathematics, Sigma
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Comments:
Gefördert aus Open-Access-Mitteln der Freien Universität Berlin.