2012/08/06 by Chung Pang Mok, Mok, Chung Pang, Fucheng Tan +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT
paper · pdf · doi:10.48550/arxiv.1208.1093
28 pages
arxiv created 2013/11/03 · arxiv updated 2013/11/05
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.