Papers › Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two

Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two

8 Sep 2023arXiv:2309.04388links table onlyarchive 2025-07-28

Jonas Bergström, Fabien Cléry

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Using a description of the cohomology of local systems on the moduli space of abelian surfaces with a full level two structure, together with a computation of Euler characteristics we find the isotypical decomposition, under the symmetric group on 6 letters, of spaces of vector-valued Siegel modular forms of degree two and level two.

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