English

Basic vector valued Siegel modular forms of genus two

Algebraic Geometry 2017-07-03 v1

Abstract

We study over rings of scalar valued Siegel modular forms. modules of vector valued modular forms of degree two. For the two simplest representations, standard and Sym^2, appears rather natural consider the cases of the group Γ[4,8]\Gamma[4,8] and Γ[2,4].\Gamma[2,4]. In these case we give the complete structure of the modules . The main tools are Theta functions and their derivatives evaluated at z=0z=0

Keywords

Cite

@article{arxiv.1312.6811,
  title  = {Basic vector valued Siegel modular forms of genus two},
  author = {Eberhard Freitag and Riccardo Salvati Manni},
  journal= {arXiv preprint arXiv:1312.6811},
  year   = {2017}
}

Comments

15 pages

R2 v1 2026-06-22T02:34:38.214Z