Configuration spaces of tori
| dc.creator | Feler, Yoel | |
| dc.date | 2006-01-12 | |
| dc.date.accessioned | 2026-07-07T06:58:50Z | |
| dc.date.available | 2026-07-07T06:58:50Z | |
| dc.description | The configuration space C^n of unordered n-tuples of distinct points on a torus T^2 is a non-singular complex algebraic variety. We study holomorphic self-maps of C^n and prove that for n>4 any such map F either carries the whole of C^n into an orbit of the diagonal Aut(T^2) action in C^n or is of the form F(x)=T(x)x for some holomorphic map T:C^n-->Aut(T^2). We also prove that for n>4 any endomorphism of the torus braid group B_n(T^2) with a non-abelian image preserves the pure torus braid group PB_n(T^2). | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601283 | |
| dc.identifier | http://arxiv.org/abs/math/0601283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107520 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32H02,32H25,32C18,32M05,14J50 | |
| dc.title | Configuration spaces of tori | |
| dc.type | text |