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The paper proves the full generating series arithmetic Siegel–Weil formula on the product of two modular curves, including cases with arbitrarily singular coefficients. This corresponds to the GSpin(2,2) case in Kudla's program.
The paper proves the full generating series arithmetic Siegel–Weil formula on the product of two modular curves, including cases with arbitrarily singular coefficients. This corresponds to the GSpin(2,2) case in Kudla's program.
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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.
This result advances the understanding of arithmetic geometry and modular forms by resolving a significant case in Kudla's program. It provides a foundation for further research in the arithmetic theory of modular curves and related automorphic forms.
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