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arXiv · 2604.03162

A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions

Margaret Bilu·Loïs Faisant
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Abstract

We prove a motivic version of the Poisson formula on the adelic points of a split algebraic torus and apply it to the study of the motivic height zeta function of split projective toric varieties, in the context of the motivic Manin-Peyre principle.

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Margaret Bilu, Loïs Faisant. 2026-04-03. A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions. https://arxiv.org/abs/2604.03162

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