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arXiv:2403.14389 [math.AG]AbstractReferencesReviewsResources

On the Weights of Root Subgroups of Affine Toric Varieties

Immanuel van Santen

Published 2024-03-21Version 1

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.

Comments: 22 pages, comments are welcome! arXiv admin note: substantial text overlap with arXiv:2112.04784
Categories: math.AG, math.CO
Subjects: 14R20, 14M25
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