Ramification of surfaces: Artin-Schreier extensions
| dc.creator | Zhukov, Igor | |
| dc.date | 2002-09-15 | |
| dc.date.accessioned | 2026-07-07T04:50:53Z | |
| dc.date.available | 2026-07-07T04:50:53Z | |
| dc.description | Let $A$ be a regular 2-dimensional local ring of characteristic $p>0$, and let $L/K$ be a cyclic extension of degree $p$ of its field of fractions such that the corresponding branch divisor is normal crossing. For each $\gp\in\Spec A$ of height 1 such that $A/\gp$ is regular, consider the ramification jump $h_\gp$ of the extension of the residue field at $\gp$. In this paper the semi-continuity of $h_\gp$ with respect to Zariski topology of suitable jet spaces is proved. The asymptotic of $h_\gp$ with respect to intersection multiplicity of the prime divisor defined by $\gp$ and the branch divisor is also addressed. | |
| dc.description | LaTeX, 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209183 | |
| dc.identifier | http://arxiv.org/abs/math/0209183 | |
| dc.identifier | Contemporary mathematics 300 (2002), 211--220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64952 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 14E22; Secondary 11S15 | |
| dc.title | Ramification of surfaces: Artin-Schreier extensions | |
| dc.type | text |