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Study of a Z-form of the coordinate ring of a reductive group

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Toroidal embedding of Chevalley groups over $\mathbb{Z}$

math.AG · 2025-06-03 · conditional · novelty 7.0

For every fan supported in the negative Weyl chamber, universal equivariant toroidal embeddings of split reductive group schemes over Z exist and specialize to the classical embeddings over every algebraically closed field.

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  • Toroidal embedding of Chevalley groups over $\mathbb{Z}$ math.AG · 2025-06-03 · conditional · none · ref 3

    For every fan supported in the negative Weyl chamber, universal equivariant toroidal embeddings of split reductive group schemes over Z exist and specialize to the classical embeddings over every algebraically closed field.