Spaces of geometrically generic configurations
| dc.creator | Feler, Yoel | |
| dc.date | 2006-01-14 | |
| dc.date.accessioned | 2026-07-07T06:58:55Z | |
| dc.date.available | 2026-07-07T06:58:55Z | |
| dc.description | Let X denote either CP^m or C^m. We study certain analytic properties of the space E^n of ordered geometrically generic n-point configurations in X. This space consists of all q=(q_1,...,q_n) in X^n such that no m+1 of the points q_1,...,q_n belong to a hyperplane in X. In particular, we show that for X=CP^m and n big enough any holomorphic map f:E^n-->E^n commuting with the natural action of the symmetric group S(n) in E^n is of the form f(q)=t(q)q=(t(q)q_1,...,t(q)q_n), for q in E^n, where t:E^n-->PSL(m+1,C) is an S(n)-invariant holomorphic map. A similar result holds true for mappings of the space of ordered geometrically generic n-point configurations in C^m. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601362 | |
| dc.identifier | http://arxiv.org/abs/math/0601362 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107558 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J50,32H02 (Primary) 32H25,32M99 (Secondary) | |
| dc.title | Spaces of geometrically generic configurations | |
| dc.type | text |