Overconvergent family of Siegel-Hilbert modular forms
Number Theory
2013-11-05 v3 Algebraic Geometry
Abstract
We construct one parameter families of overconvergent Siegel-Hilbert modular forms. In particular, for any classical Siegel-Hilbert modular eigenform one can find a rigid analytic disc centered at this point, on which an infinite family of classical points with varying weights accumulates at the center.
Keywords
Cite
@article{arxiv.1208.1093,
title = {Overconvergent family of Siegel-Hilbert modular forms},
author = {Chung Pang Mok and Fucheng Tan},
journal= {arXiv preprint arXiv:1208.1093},
year = {2013}
}
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28 pages