Siegel modular forms arising from higher Chow cycles
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912391530283008 |
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| author | Ma, Shouhei |
| author_facet | Ma, Shouhei |
| contents | We prove that the infinitesimal invariant of a higher Chow cycle of type (2,3-g) on a generic abelian variety of dimension g<4 gives rise to a meromorphic Siegel modular form of (virtual) weight Sym^{4}det^{-1} with bounded singularity, and that this construction is functorial with respect to rank 1 degeneration, namely the K-theory elevator for the cycle corresponds to the Siegel operator for the modular form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Siegel modular forms arising from higher Chow cycles Ma, Shouhei Algebraic Geometry Number Theory We prove that the infinitesimal invariant of a higher Chow cycle of type (2,3-g) on a generic abelian variety of dimension g<4 gives rise to a meromorphic Siegel modular form of (virtual) weight Sym^{4}det^{-1} with bounded singularity, and that this construction is functorial with respect to rank 1 degeneration, namely the K-theory elevator for the cycle corresponds to the Siegel operator for the modular form. |
| title | Siegel modular forms arising from higher Chow cycles |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2505.04465 |