Abstract
We define a theta operator on -adic vector-valued modular forms on unitary groups of arbitrary signature, over a quadratic imaginary field in which is inert. We study its effect on Fourier–Jacobi expansions and prove that it extends holomorphically beyond the -ordinary locus, when applied to scalar-valued forms.
Citation
Ehud de Shalit. Eyal Z. Goren. "Theta operators on unitary Shimura varieties." Algebra Number Theory 13 (8) 1829 - 1877, 2019. https://doi.org/10.2140/ant.2019.13.1829
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