Ludwig, M., Freyer, A., & Rubey, M. (2024, June 12). Unimodular Valuations beyond Ehrhart [Conference Presentation]. Convex Geometry in Florence 2024, Università degli Studi di Firenze, Italy. http://hdl.handle.net/20.500.12708/199539
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
Date (published):
12-Jun-2024
-
Event name:
Convex Geometry in Florence 2024
en
Event date:
12-Jun-2024 - 14-Jun-2024
-
Event place:
Università degli Studi di Firenze, Italy
-
Keywords:
valuation; lattice polygons; Ehrhart polynomial
en
Abstract:
A complete classification of unimodular, polynomial-valued valuations is established on lattice polygons. The proof uses invariant polynomials of a specific finite group and an extension to formal power series-valued valuations. In addition, a classification of polynomial-valued, translation invariant, and Minkowski additive functions is obtained.
en
Project title:
Bewertungen auf konvexen Funktionen: P 34446-N (FWF - Österr. Wissenschaftsfonds)
