A note on the group extension problem to semi-universal deformation
Algebraic Geometry
2023-11-28 v4
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.
Cite
@article{arxiv.2108.04041,
title = {A note on the group extension problem to semi-universal deformation},
author = {An Khuong Doan},
journal= {arXiv preprint arXiv:2108.04041},
year = {2023}
}
Comments
6 pages, a more revised version