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arXiv · 2403.14389

On the Weights of Root Subgroups of Affine Toric Varieties

Immanuel van Santen
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Abstract

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.

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Immanuel van Santen. 2024-03-21. On the Weights of Root Subgroups of Affine Toric Varieties. https://arxiv.org/abs/2403.14389

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