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arXiv · 1606.07014

Covariants of binary sextics and vector-valued Siegel modular forms of genus two

Fabien Cléry·Carel Faber·Gerard van der Geer
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Abstract

We extend Igusa's description of the relation between invariants of binary sextics and Siegel modular forms of degree two to a relation between covariants and vector-valued Siegel modular forms of degree two. We show how this relation can be used to effectively calculate the Fourier expansions of Siegel modular forms of degree two.

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Fabien Cléry, Carel Faber, Gerard van der Geer. 2016-06-22. Covariants of binary sextics and vector-valued Siegel modular forms of genus two. https://arxiv.org/abs/1606.07014

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