On the 1-pointed curves arising as etale covers of the affine line in positive characteristic
| dc.creator | Zapponi, Leonardo | |
| dc.date | 2003-09-23 | |
| dc.date.accessioned | 2026-07-07T05:01:23Z | |
| dc.date.available | 2026-07-07T05:01:23Z | |
| dc.description | Let k be an algebraically closed field of positive characteristic. The goal of this paper is to characterize the proper smooth curves X/k of positive genus g equipped with a k-rational point P such that X¶can be realized as an etale cover of the affine line. A first elementary analysis shows that such a cover exists if and only if there exists an exact regular differential form on X having a unique zero at P (of order 2g-2). The main inconvenient of this approach is that it doesn't give any control on the degree of the cover. A finer investigation, essentially based on the duality between the Cartier operator and the Frobenius map allows to overcome this problem. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0309386 | |
| dc.identifier | http://arxiv.org/abs/math/0309386 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68652 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14 | |
| dc.title | On the 1-pointed curves arising as etale covers of the affine line in positive characteristic | |
| dc.type | text |