Height Zeta Functions of Toric Varieties
classification
alg-geom
math.AG
keywords
heightfunctionszetatoricvarietiesanalyticarbitraryasymptotic
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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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