A note on embeddings of $S_4$ and $A_5$ into the Cremona group and versal Galois coverings
| dc.creator | Bannai, Shinzo | |
| dc.creator | Tokunaga, Hiro-o | |
| dc.date | 2005-10-24 | |
| dc.date | 2006-03-06 | |
| dc.date.accessioned | 2026-07-07T06:47:50Z | |
| dc.date.available | 2026-07-07T06:47:50Z | |
| dc.description | In this paper we introduce two versal $S_4$ coverings, and show that the two are birationaly distinct, i.e. there exists no $S_4$ equivariant birational map between them. We also introduce two versal $A_5$ coverings and show that the two are birationaly distinct also. As a corollary we obtain that there are at least three non-conjugate embbedings of $S_4$ (resp. $A_5$) into $Cr_2(\mathbb{C})$, the Cremona group. | |
| dc.description | 12 pages. Corrected typos. Abstract added. References supplemented | |
| dc.identifier | https://arxiv.org/abs/math/0510503 | |
| dc.identifier | http://arxiv.org/abs/math/0510503 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103784 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E20; 14L30 | |
| dc.title | A note on embeddings of $S_4$ and $A_5$ into the Cremona group and versal Galois coverings | |
| dc.type | text |