Moduli spaces for families of rational maps on P^1
| dc.creator | Manes, Michelle | |
| dc.date | 2009-02-11 | |
| dc.date | 2009-02-15 | |
| dc.date.accessioned | 2026-07-07T12:41:09Z | |
| dc.date.available | 2026-07-07T12:41:09Z | |
| dc.description | Let phi: P^1 --> P^1 be a rational map defined over a field K. We construct the moduli space M_d(N) parameterizing conjugacy classes of degree-d maps with a point of formal period N and present an algebraic proof that M_2(N) is geometrically irreducible for N>1. Restricting ourselves to maps phi of arbitrary degree d >= 2 such that the composition h^{-1} phi h = phi for some nontrivial h in PGL_2, we show that the moduli space parameterizing these maps with a point of formal period N is geometrically reducible for infinitely many N. | |
| dc.description | 48 pages | |
| dc.identifier | https://arxiv.org/abs/0902.1813 | |
| dc.identifier | http://arxiv.org/abs/0902.1813 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219676 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 14G05, 11G18, 37F10 | |
| dc.title | Moduli spaces for families of rational maps on P^1 | |
| dc.type | text |