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Lectures on height zeta functions: At the confluence of algebraic geometry, algebraic number theory, and analysis Export

(4 Dec 2008)

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algebraic_geometry algebraic_number_theory analysis height_zeta_functions

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These is a survey on the theory of height zeta functions, written on the occasion of a French-Japanese winter school, held in Miura (Kanagawa, Japan) in Jan. 2008. It does not presuppose much knowledge in algebraic geometry. The last chapter of the survey explains recent results obtained in collaboration with Yuri Tschinkel concerning asymptotics of volumes of height balls in analytic geometry over local fields, or in adelic spaces.


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