Elliptic curves and birational representation of Weyl groups
| dc.creator | Mitsuaki, Eguchi | |
| dc.creator | Takenawa, Tomoyuki | |
| dc.date | 2005-11-30 | |
| dc.date.accessioned | 2026-07-07T06:51:54Z | |
| dc.date.available | 2026-07-07T06:51:54Z | |
| dc.description | Some Weyl group acts on a family of rational varieties obtained by successive blow-ups at $m$ ($m\geq n+2$) points in the projective space $\mpp^n(\mc)$. In this paper we study the case where all the points of blow-ups lie on a certain elliptic curve in $\mpp^n$. Investigating the action of Weyl group on the Picard groups on the elliptic curve and on rational varieties, we show that the action on the parameters can be written as a group of linear transformations on the $(m+1)$-st power of a torus. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511726 | |
| dc.identifier | http://arxiv.org/abs/math/0511726 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105142 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | Primary 14E07; Secondary 14H52, 14H70 | |
| dc.title | Elliptic curves and birational representation of Weyl groups | |
| dc.type | text |