Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910856046968832 |
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| author | Bergström, Jonas Cléry, Fabien |
| author_facet | Bergström, Jonas Cléry, Fabien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04388 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two Bergström, Jonas Cléry, Fabien Number Theory Algebraic Geometry 11F46, 14J15, 32G13 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. |
| title | Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two |
| topic | Number Theory Algebraic Geometry 11F46, 14J15, 32G13 |
| url | https://arxiv.org/abs/2309.04388 |