Infinite families of inequivalent real circle actions on affine four-space
Épijournal de Géométrie Algébrique, Tome 3 (2019)
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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 $\mathbb{C}^*$ 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 $\mathrm{O}_2(\mathbb{C})$-vector bundles.
@article{10_46298_epiga_2019_volume3_4685,
author = {Moser-Jauslin, Lucy},
title = {Infinite families of inequivalent real circle actions on affine four-space},
journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
publisher = {mathdoc},
volume = {3},
year = {2019},
doi = {10.46298/epiga.2019.volume3.4685},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.4685/}
}
TY - JOUR AU - Moser-Jauslin, Lucy TI - Infinite families of inequivalent real circle actions on affine four-space JO - Épijournal de Géométrie Algébrique PY - 2019 VL - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.4685/ DO - 10.46298/epiga.2019.volume3.4685 LA - en ID - 10_46298_epiga_2019_volume3_4685 ER -
%0 Journal Article %A Moser-Jauslin, Lucy %T Infinite families of inequivalent real circle actions on affine four-space %J Épijournal de Géométrie Algébrique %D 2019 %V 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.4685/ %R 10.46298/epiga.2019.volume3.4685 %G en %F 10_46298_epiga_2019_volume3_4685
Moser-Jauslin, Lucy. Infinite families of inequivalent real circle actions on affine four-space. Épijournal de Géométrie Algébrique, Tome 3 (2019). doi: 10.46298/epiga.2019.volume3.4685
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