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arXiv · 2610.20575

Arithmetic Siegel--Weil formula on the product of modular curves

Ryan C. Chen·Baiqing Zhu
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Abstract

We prove the full generating series arithmetic Siegel--Weil formula on the product of two modular curves, with arbitrarily singular coefficients. This is the case $\operatorname{GSpin}(2,2)$ in Kudla's program.

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Ryan C. Chen, Baiqing Zhu. 2026-10-14. Arithmetic Siegel--Weil formula on the product of modular curves. https://arxiv.org/abs/2610.20575

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