On the Weights of Root Subgroups of Affine Toric Varieties
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 w...
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| creator | van Santen, Immanuel |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2403.14389 |
| format | Article |
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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
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the character group determines $X$ as a toric variety. In this article we prove
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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.</abstract><doi>10.48550/arxiv.2403.14389</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry Mathematics - Combinatorics |
| title | On the Weights of Root Subgroups of Affine Toric Varieties |
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