On the $p$-adic meromorphy of the function field height zeta function
| dc.creator | Haessig, C. Douglas | |
| dc.date | 2007-04-25 | |
| dc.date.accessioned | 2026-07-07T07:58:14Z | |
| dc.date.available | 2026-07-07T07:58:14Z | |
| dc.description | In this brief note, we will investigate the number of points of bounded (twisted) height in a projective variety defined over a function field, where the function field comes from a projective variety of dimension greater than or equal to 2. A first step in this investigation is to understand the $p$-adic analytic properties of the height zeta function. In particular, we will show that for a large class of projective varieties this function is $p$-adic meromorphic. | |
| dc.description | 5 pages. Comments welcome | |
| dc.identifier | https://arxiv.org/abs/0704.3410 | |
| dc.identifier | http://arxiv.org/abs/0704.3410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127932 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G25; 11G50 | |
| dc.title | On the $p$-adic meromorphy of the function field height zeta function | |
| dc.type | text |