PreprintCC BY 4.0arXiv
Automorphism groups of semi-rigid T-varieties of complexity one
Abstract
We prove that if X 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 X is a semi-direct product of a torus and the maximal unipotent-generated subgroup.
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BibTeX
@misc{rassolov2026automorphism,
title = {{Automorphism groups of semi-rigid $T$-varieties of complexity one}},
author = {Kirill Rassolov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09362},
eprint = {2609.09362},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09362},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Automorphism groups of semi-rigid T-varieties of complexity one
AU - Kirill Rassolov
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.09362
UR - https://arxiv.org/abs/2609.09362
AB - We prove that if X 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 X is a semi-direct product of a torus and the maximal unipotent-generated subgroup.
ER -