Tautological modular forms of level two and degree two
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917490919997440 |
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| author | Cléry, Fabien van der Geer, Gerard |
| author_facet | Cléry, Fabien van der Geer, Gerard |
| contents | We show how to use divisors on the projectivized Hodge bundle to construct special vector-valued modular forms and then apply invariant theory to construct all vector-valued Siegel modular forms of level two and degree two. Thus we construct all modular forms in terms of certain basic modular forms that are intimately connected to the moduli of curves of genus two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13300 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Tautological modular forms of level two and degree two Cléry, Fabien van der Geer, Gerard Algebraic Geometry Number Theory We show how to use divisors on the projectivized Hodge bundle to construct special vector-valued modular forms and then apply invariant theory to construct all vector-valued Siegel modular forms of level two and degree two. Thus we construct all modular forms in terms of certain basic modular forms that are intimately connected to the moduli of curves of genus two. |
| title | Tautological modular forms of level two and degree two |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2605.13300 |