Height Zeta Functions of Toric Varieties
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We investigate analytic properties of height zeta functions of toric varieties. Using the height zeta functions, we prove an asymptotic formula for the number of rational points of bounded height with respect to an arbitrary line bundle whose first Chern class is contained in the interior of the cone of effective divisors
Cite
@article{arxiv.alg-geom/9606003,
title = {Height Zeta Functions of Toric Varieties},
author = {Victor V. Batyrev and Yuri Tschinkel},
journal= {arXiv preprint arXiv:alg-geom/9606003},
year = {2008}
}
Comments
27 pages, AMS-LaTeX