Basic vector valued Siegel modular forms of genus two

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 $\Gamma [4,8]$ and $\Gamma [2,4].$ In these case we give the complete structure of the modules . The main tools are Theta functions and their derivatives evaluated at $z=0$

15 pages

References in corpus (1)

• Siegel modular forms of genus 2 and level 2

Cited by in corpus (1)

• Vector valued hermitian and quaternionic modular forms