English

Rational Points on Weighted projective Spaces

Algebraic Geometry 2007-05-23 v1 Number Theory

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.

Keywords

Cite

@article{arxiv.math/9812082,
  title  = {Rational Points on Weighted projective Spaces},
  author = {An-Wen Deng},
  journal= {arXiv preprint arXiv:math/9812082},
  year   = {2007}
}