A note on the group extension problem to semi-universal deformation
arXiv:2108.04041 · doi:10.1016/j.indag.2023.11.003
Abstract
The aim of this note is twofold. Firstly, we explain in detail Remark 4.1 in \cite{doan-a} by showing that the action of the automorphism group of the second Hirzebruch surface on itself extends to its formal semi-universal deformation only up to the first order. Secondly, we show that for reductive group actions, the locality of the extended actions on the Kuranishi space constructed in \cite{doan-equivariant} is the best one could expect in general.
6 pages, a more revised version