On the inertia group of elliptic curves in the Cremona group of the plane
| dc.creator | Blanc, Jérémy | |
| dc.date | 2007-03-27 | |
| dc.date | 2007-10-23 | |
| dc.date.accessioned | 2026-07-07T12:52:00Z | |
| dc.date.available | 2026-07-07T12:52:00Z | |
| dc.description | We study the group of birational transformations of the plane that fix (each point of) a curve of geometric genus 1. A precise description of the finite elements is given; it is shown in particular that the order is at most 6, and that if the group contains a non-trivial torsion, the fixed curve is the image of a smooth cubic by a birational transformation of the plane. We show that for a smooth cubic, the group is generated by its elements of degree 3, and prove that it contains a free product of Z/2Z, indexed by the points of the curve. | |
| dc.description | 14 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/math/0703804 | |
| dc.identifier | http://arxiv.org/abs/math/0703804 | |
| dc.identifier | Michigan Math. J. 56 (2008), no. 2, 315-330. | |
| dc.identifier | doi:10.1307/mmj/1224783516 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223168 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E05; 14E07; 14H52 | |
| dc.title | On the inertia group of elliptic curves in the Cremona group of the plane | |
| dc.type | text |