On elements of prime order in the plane Cremona group over a perfect field
| dc.creator | Dolgachev, Igor V. | |
| dc.creator | Iskovskikh, Vasily A. | |
| dc.date | 2007-07-29 | |
| dc.date | 2008-07-10 | |
| dc.date.accessioned | 2026-07-07T09:49:13Z | |
| dc.date.available | 2026-07-07T09:49:13Z | |
| dc.description | We show that the plane Cremona group over a perfect field $k$ of characteristic $p \ge 0$ contains an element of prime order $\ell\ge 7$ not equal to $p$ if and only if there exists a 2-dimensional algebraic torus $T$ over $k$ such that $T(k)$ contains an element of order $\ell$. If $p = 0$ and $k$ does not contain a primitive $\ell$-th root of unity, we show that there are no elements of prime order $\ell > 7$ in $\Cr_2(k)$ and all elements of order 7 are conjugate. | |
| dc.description | 19 pages, essential revision of the previous version | |
| dc.identifier | https://arxiv.org/abs/0707.4305 | |
| dc.identifier | http://arxiv.org/abs/0707.4305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164503 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14E07, 12F12 | |
| dc.title | On elements of prime order in the plane Cremona group over a perfect field | |
| dc.type | text |