Siegel modular forms of level (4,8) and weight two
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909561149980672 |
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| author | Freitag, Eberhard Manni, Riccardo Salvati |
| author_facet | Freitag, Eberhard Manni, Riccardo Salvati |
| contents | We consider the space of Siegel modular forms of genus $g$ of weight two relative to the main congruence subgroup of level 2 and to Igusa's group $Γ_g(4, 8)$ and $Γ_g(2,4)$.One of the main results of this paper is that in the case $g\ge 8$ the space $[Γ_g[4,8],2]$ is generated by the products of 4 theta nullwerte. Thus this note can be considered as a completion of the example at the end of [Fr]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00653 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Siegel modular forms of level (4,8) and weight two Freitag, Eberhard Manni, Riccardo Salvati Number Theory Algebraic Geometry We consider the space of Siegel modular forms of genus $g$ of weight two relative to the main congruence subgroup of level 2 and to Igusa's group $Γ_g(4, 8)$ and $Γ_g(2,4)$.One of the main results of this paper is that in the case $g\ge 8$ the space $[Γ_g[4,8],2]$ is generated by the products of 4 theta nullwerte. Thus this note can be considered as a completion of the example at the end of [Fr]. |
| title | Siegel modular forms of level (4,8) and weight two |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2504.00653 |