Rational Points on Weighted projective Spaces
Abstract
In this paper,we count the rational points on the weighted projective spaces defined over number fields w.r.t. ``size''. An asymptotic formula which generalizes the result of Schanuel's ``Heights in number fields'' is obtained. Furthermore, we count also the rational points on the product of weighted projective spaces.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- December 1998
- DOI:
- 10.48550/arXiv.math/9812082
- arXiv:
- arXiv:math/9812082
- Bibcode:
- 1998math.....12082D
- Keywords:
-
- Algebraic Geometry;
- Number Theory