Self maps of P^1 with prescribed ramification in characteristic p
| dc.creator | Osserman, Brian | |
| dc.date | 2004-07-26 | |
| dc.date.accessioned | 2026-07-07T05:10:42Z | |
| dc.date.available | 2026-07-07T05:10:42Z | |
| dc.description | Using limit linear series and a result controlling degeneration from separable maps to inseparable maps, we give a formula for the number of self-maps of the projective line with ramification to order e_i at general points P_i, in the case that all e_i are less than the characteristic. Unlike the case of characteristic 0, the answer is not given by Schubert calculus, nor is the number of maps always finite for distinct P_i, even in the tamely ramified case. However, finiteness for general P_i, obtained by exploiting the relationship to branched covers, is a key part of the argument. | |
| dc.description | 20 pages. Contents of chapter I of PhD thesis, Massachusetts Institute of Technology, 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0407445 | |
| dc.identifier | http://arxiv.org/abs/math/0407445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72007 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N10 | |
| dc.title | Self maps of P^1 with prescribed ramification in characteristic p | |
| dc.type | text |