Theta operators on unitary Shimura varieties
Number Theory
2019-10-16 v2 Algebraic Geometry
Abstract
We define a theta operator on p-adic vector-valued modular forms on unitary groups of arbitrary signature, over a quadratic imaginary field in which p is inert. We study its effect on Fourier-Jacobi expansions and prove that it extends holomorphically beyond the {\mu}-ordinary locus, when applied to scalar-valued forms.
Cite
@article{arxiv.1712.06969,
title = {Theta operators on unitary Shimura varieties},
author = {Ehud De Shalit and Eyal Z. Goren},
journal= {arXiv preprint arXiv:1712.06969},
year = {2019}
}
Comments
46 pages