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arXiv · 1312.6811

Basic vector valued Siegel modular forms of genus two

Eberhard Freitag·Riccardo Salvati Manni
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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 $z=0$

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Eberhard Freitag, Riccardo Salvati Manni. 2013-12-24. Basic vector valued Siegel modular forms of genus two. https://arxiv.org/abs/1312.6811

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