Isolated torus invariants and automorphism groups of rigid varieties
Algebraic Geometry
2023-12-14 v2
Abstract
Perepechko and Zaidenberg conjectured that the neutral component of the automorphism group of a rigid affine variety is a torus. We prove this conjecture for toric varieties and varieties with a torus action of complexity one. We also obtain a criterion for an -suspension over a rigid variety to be rigid (for every rigid variety and every regular function). Additionally, we study the automorphism group of -suspensions satisfying this criterion.
Cite
@article{arxiv.2007.07882,
title = {Isolated torus invariants and automorphism groups of rigid varieties},
author = {Viktoria Borovik and Sergey Gaifullin},
journal= {arXiv preprint arXiv:2007.07882},
year = {2023}
}