Infinite families of inequivalent real circle actions on affine four-space
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Infinite families of inequivalent real circle actions on affine four-space |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Moser-Jauslin L. |
| Journal | EPIJOURNAL DE GEOMETRIE ALGEBRIQUE |
| Volume | 3 |
| Pagination | 1 |
| Date Published | MAR 1 |
| Type of Article | Article |
| ISSN | 2491-6765 |
| Mots-clés | circle actions, non-linearizable actions, real affine varieties, Real forms |
| Résumé | 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 O-2(C)-vector bundles. |