2006/06/28 by Alexandru Buium, Buium, Alexandru
Mathematics · Physics and Astronomy · #11F32 #11F85 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT) #math.NT #msc:11F32 #msc:11F85
paper · pdf · doi:10.48550/arxiv.math/0606701
29 pages
arxiv created 2006/06/28 · openalex publication_date 2006/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to show how differential characters of Abelian varieties can be used to construct differential modular forms of weight 0 and order 2 which are eigenvectors of Hecke operators. These differential modular forms have "essentially the same" eigenvalues as certain classical complex eigenforms of weight 2.