English

Rational Points of Bounded Height on Compactifications of Anisotropic Tori

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

We investigate the analytic properties of the zeta-function associated with heights on equivariant compactifications of anisotropic tori over number fields. This allows to verify conjectures about the distribution of rational points of bounded height.

Keywords

Cite

@article{arxiv.alg-geom/9411009,
  title  = {Rational Points of Bounded Height on Compactifications of Anisotropic Tori},
  author = {Victor V. Batyrev and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:alg-geom/9411009},
  year   = {2008}
}

Comments

45 pages, Latex