Equiramified deformations of covers in positive characteristic
| dc.creator | Pries, Rachel | |
| dc.date | 2004-03-02 | |
| dc.date | 2005-07-13 | |
| dc.date.accessioned | 2026-07-07T05:05:53Z | |
| dc.date.available | 2026-07-07T05:05:53Z | |
| dc.description | Suppose $ϕ$ is a wildly ramified cover of germs of curves defined over an algebraically closed field of characteristic p. We study unobstructed deformations of $ϕ$ in equal characteristic, which are equiramified in that the branch locus is constant and the ramification filtration is fixed. We show that the moduli space $M_ϕ$ parametrizing equiramified deformations of $ϕ$ is a subscheme of an explicitly constructed scheme. This allows us to give an explicit upper and lower bound for the Krull dimension $d_ϕ$ of $M_ϕ$. These bounds depend only on the ramification filtration of $ϕ$. When $ϕ$ is an abelian p-group cover, we use class field theory to show that the upper bound for $d_ϕ$ is realized. | |
| dc.description | Half of the material from the original version now appears in math.AG/0507274. The main result of the original version has another hypothesis | |
| dc.identifier | https://arxiv.org/abs/math/0403056 | |
| dc.identifier | http://arxiv.org/abs/math/0403056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70337 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14H30; 14G32 | |
| dc.title | Equiramified deformations of covers in positive characteristic | |
| dc.type | text |