Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms

2014/09/25 by Cléry, Fabien, van der Geer, Gerard
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1409.7176

Abstract

This paper gives a simple method for constructing vector-valued Siegel modular forms from scalar-valued ones. The method is efficient in producing the siblings of Delta, the smallest weight cusp forms that appear in low degrees. It also shows the strong relations between these modular forms of different genera. We illustrate this by a number of examples.

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• Siegel modular forms of genus 2 and level 2
• Computations of vector-valued Siegel modular forms
• Siegel Modular Forms
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