


























Abstract:We investigate the automorphism groups of non-normal affine toric surfaces. While the connected component of the automorphism group of a normal toric surface is always generated by the acting torus and root subgroups, we prove that this fails for non-normal surfaces in general. Specifically, we show that the property holds if the singular locus contains a one-dimensional torus orbit, but can fail if the singular locus is an isolated point. To illustrate this, we construct an explicit non-normal affine toric surface in $\mathbb{A}^4$ whose connected component of the identity is strictly larger than the subgroup generated by the torus and root automorphisms of the surface.
From: Kirill Selin [view email]
[v1]
Fri, 12 Jun 2026 08:14:56 UTC (16 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。