The authors construct a canonical formal group action on μ-ordinary Igusa varieties for Hodge type Shimura data that integrates Maass-Shimura operators and, via p-adic Fourier theory, yields a unified algebra action encoding both p-adic differential operators and Hecke operators.
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$p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties
The authors construct a canonical formal group action on μ-ordinary Igusa varieties for Hodge type Shimura data that integrates Maass-Shimura operators and, via p-adic Fourier theory, yields a unified algebra action encoding both p-adic differential operators and Hecke operators.