Height Zeta Functions of Toric Varieties

Details Height Zeta Functions of Toric Varieties Height Zeta Functions of Toric Varieties

1996-06-06

arxiv.org/abs/alg-geom/9606003v1

Mathematics

Algebraic Geometry

27 pages, AMS-LaTeX

Scientific paper

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

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