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Automorphism groups of semi-rigid TT-varieties of complexity one

Kirill Rassolov

Source record

Source: arXiv

Published: Sep 8, 2026

arXiv: 2609.09362

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Source abstract

We prove that if XX is a semi-rigid normal rational affine algebraic variety with torus action of complexity one, with only constant invertible global functions and finitely generated divisor class group, then the identity component of the automorphism group of XX is a semi-direct product of a torus and the maximal unipotent-generated subgroup.

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Automorphism groups of semi-rigid $T$-varieties of complexity one — Mathematical Frontier Network