Equivariant Ehrhart theory, commutative algebra and invariant triangulations of polytopes
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866918147566600192 |
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| author | Stapledon, Alan |
| author_facet | Stapledon, Alan |
| contents | Ehrhart theory is the study of the enumeration of lattice points in lattice polytopes. Equivariant Ehrhart theory is a generalization of Ehrhart theory that takes into account the action of a finite group acting via affine transformations on the underlying lattice and preserving the polytope. We further develop equivariant Ehrhart theory in part by establishing connections with commutative algebra as well as the question of when there exists an invariant lattice triangulation of a lattice polytope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17273 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equivariant Ehrhart theory, commutative algebra and invariant triangulations of polytopes Stapledon, Alan Combinatorics Commutative Algebra Representation Theory 52B20 (Primary), 05E18 (Secondary), 05E10, 13F55 Ehrhart theory is the study of the enumeration of lattice points in lattice polytopes. Equivariant Ehrhart theory is a generalization of Ehrhart theory that takes into account the action of a finite group acting via affine transformations on the underlying lattice and preserving the polytope. We further develop equivariant Ehrhart theory in part by establishing connections with commutative algebra as well as the question of when there exists an invariant lattice triangulation of a lattice polytope. |
| title | Equivariant Ehrhart theory, commutative algebra and invariant triangulations of polytopes |
| topic | Combinatorics Commutative Algebra Representation Theory 52B20 (Primary), 05E18 (Secondary), 05E10, 13F55 |
| url | https://arxiv.org/abs/2311.17273 |