Infinite families of inequivalent real circle actions on affine four-space
Algebraic Geometry
2018-07-03 v1
Abstract
The main result of this article is to construct infinite families of non-equivalent equivariant real forms of linear C*-actions on affine four-space. We consider the real form of C* whose fixed point is a circle. In [F-MJ] one example of a non-linearizable circle action was constructed. Here, this result is generalized by developing a new approach which allows us to compare different real forms. The constructions of these forms are based on the structure of equivariant O2(C)-vector bundles.
Keywords
Cite
@article{arxiv.1807.00524,
title = {Infinite families of inequivalent real circle actions on affine four-space},
author = {Lucy Moser-Jauslin},
journal= {arXiv preprint arXiv:1807.00524},
year = {2018}
}