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Tamagawa numbers of polarized algebraic varieties

Tamagawa numbers of polarized algebraic varieties

Let L = (L, ‖ · ‖v) be an ample metrized invertible sheaf on a smooth quasi-projective algebraic variety V over a number field F . Denote by N(V,L, B) the number of rational points in V having Lheight ≤ B. In this paper we consider the problem of a …