Article ID Journal Published Year Pages File Type
4594932 Journal of Number Theory 2008 16 Pages PDF
Abstract

Let p be an unramified prime in a totally real field L such that h+(L)=1. Our main result shows that Hilbert modular newforms of parallel weight two for Γ0(p) can be constructed naturally, via classical theta series, from modules of isogenies of superspecial abelian varieties with real multiplication on a Hilbert moduli space. This may be viewed as a geometric reinterpretation of the Eichler Basis Problem for Hilbert modular forms.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory