Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595045 | Journal of Number Theory | 2008 | 7 Pages |
Abstract
In this brief note, we will investigate the number of points of bounded 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory