Semigroups of Integer Points in Convex Cones
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915253220016128 |
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| author | Blekherman, Grigoriy De Loera, Jesús A. Xu, Luze Zhang, Shixuan |
| author_facet | Blekherman, Grigoriy De Loera, Jesús A. Xu, Luze Zhang, Shixuan |
| contents | We study the question whether the affine semigroup of integer points in a convex cone can be finitely generated up to symmetries of the cone. We establish general properties of finite generation up to symmetry, and then concentrate on the case of irrational polyhedral cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semigroups of Integer Points in Convex Cones Blekherman, Grigoriy De Loera, Jesús A. Xu, Luze Zhang, Shixuan Number Theory Optimization and Control 11H06, 52C07, 52C05, 11H56, 20H05 We study the question whether the affine semigroup of integer points in a convex cone can be finitely generated up to symmetries of the cone. We establish general properties of finite generation up to symmetry, and then concentrate on the case of irrational polyhedral cones. |
| title | Semigroups of Integer Points in Convex Cones |
| topic | Number Theory Optimization and Control 11H06, 52C07, 52C05, 11H56, 20H05 |
| url | https://arxiv.org/abs/2504.15537 |