Author

Andriy Regeta

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Preprint Oct 2026

Borel subgroups of the automorphism group of an affine variety

We study Borel subgroups of the automorphism group of an affine variety X and their associated Lie algebras. We prove a bijective correspondence between the set of Borel subgroups of Aut(X) and the set of maximal nested unipotent subgroups of Aut(X). We show that if X is factorial of dimension at most 3, then the Lie a...

Michael Chitayat, D. Daigle, Andriy Regeta · 0 citations