Unimodular Valuations beyond Ehrhart
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908761892847616 |
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| author | Freyer, Ansgar Ludwig, Monika Rubey, Martin |
| author_facet | Freyer, Ansgar Ludwig, Monika Rubey, Martin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07691 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unimodular Valuations beyond Ehrhart Freyer, Ansgar Ludwig, Monika Rubey, Martin Metric Geometry Combinatorics 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. |
| title | Unimodular Valuations beyond Ehrhart |
| topic | Metric Geometry Combinatorics |
| url | https://arxiv.org/abs/2407.07691 |