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

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...

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Bibliographic Details
Main Authors Bergström, Jonas, Cléry, Fabien
Format Journal Article
LanguageEnglish
Published 08.09.2023
Subjects
Mathematics - Algebraic Geometry
Mathematics - Number Theory
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Summary: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.
DOI:10.48550/arxiv.2309.04388