Freyer, A., Ludwig, M., & Rubey, M. (2025). Unimodular valuations beyond Ehrhart. Forum of Mathematics, Sigma, 13, Article e188. https://doi.org/10.1017/fms.2025.10123
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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Journal:
Forum of Mathematics, Sigma
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ISSN:
2050-5094
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Date (published):
2025
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Number of Pages:
26
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Publisher:
Cambridge University Press
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Peer reviewed:
Yes
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Keywords:
Lattice polygon; Tensor valuation
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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.
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Project title:
Bewertungen auf konvexen Funktionen: P 34446-N (FWF - Österr. Wissenschaftsfonds)
