Zeta functions of totally ramified p-covers of the projective line
| dc.creator | Li, Hanfeng | |
| dc.creator | Zhu, Hui June | |
| dc.date | 2003-12-23 | |
| dc.date | 2005-01-30 | |
| dc.date.accessioned | 2026-07-07T05:04:08Z | |
| dc.date.available | 2026-07-07T05:04:08Z | |
| dc.description | In this paper we prove that there exists a Zariski dense open subset U defined over the rationals Q in the space of all one-variable rational functions with arbitrary k poles of prescribed orders, such that for every geometric point f in U(Qbar)$, the L-function of the exponential sum of f at a prime p has Newton polygon approaching the Hodge polygon as p approaches infinity. As an application to algebraic geometry, we prove that the p-adic Newton polygon of the zeta function of a p-cover of the projective line totally ramified at arbitrary k points of prescribed orders has an asymptotic generic lower bound. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312423 | |
| dc.identifier | http://arxiv.org/abs/math/0312423 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69686 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Zeta functions of totally ramified p-covers of the projective line | |
| dc.type | text |