On the Weights of Root Subgroups of Affine Toric Varieties
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916170491232256 |
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| author | van Santen, Immanuel |
| author_facet | van Santen, Immanuel |
| contents | Let $X$ be an affine toric variety and let $D(X)$ be the set of weights of all root subgroups. It is known that $D(X)$ together with its embedding into the character group determines $X$ as a toric variety. In this article we prove that $X$ is already determined by the abstract set $D(X)$ together with some additional combinatorial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14389 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Weights of Root Subgroups of Affine Toric Varieties van Santen, Immanuel Algebraic Geometry Combinatorics 14R20, 14M25 Let $X$ be an affine toric variety and let $D(X)$ be the set of weights of all root subgroups. It is known that $D(X)$ together with its embedding into the character group determines $X$ as a toric variety. In this article we prove that $X$ is already determined by the abstract set $D(X)$ together with some additional combinatorial data. |
| title | On the Weights of Root Subgroups of Affine Toric Varieties |
| topic | Algebraic Geometry Combinatorics 14R20, 14M25 |
| url | https://arxiv.org/abs/2403.14389 |