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arXiv · 2606.01491

Geometrization of summation formulae for quadrics

Chun-Hsien Hsu
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Abstract

We geometrize the Poisson summation formula for the zero locus of a split quadratic form in an even number of variables over number fields. We do so by making explicit the relationship between Schwartz spaces on quadrics defined in two different ways: via Braverman-Kazhdan spaces and via theta lifts.

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Chun-Hsien Hsu. 2026-05-31. Geometrization of summation formulae for quadrics. https://arxiv.org/abs/2606.01491

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