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

Ryan C. Chen, Baiqing Zhu

Source record

Source: arXiv

Published: Oct 14, 2026

arXiv: 2610.20575

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Source 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 GSpin⁡(2,2)\operatorname{GSpin}(2,2) in Kudla's program.

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Arithmetic Siegel--Weil formula on the product of modular curves — Mathematical Frontier Network