Decomposable abelian $G$-curves and special subvarieties
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910899257737216 |
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| author | Spelta, Irene Tamborini, Carolina |
| author_facet | Spelta, Irene Tamborini, Carolina |
| contents | We consider families of abelian Galois coverings of the line. When the Jacobian of the general element is totally decomposable, i.e., is isogenous to a product of elliptic curves, we prove that they yield special subvarieties of $\A_g$ if and only if a numerical condition holds, which in the general case is only known to be sufficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_19030 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decomposable abelian $G$-curves and special subvarieties Spelta, Irene Tamborini, Carolina Algebraic Geometry 14H10, 14H40, 14G35, 14K05 We consider families of abelian Galois coverings of the line. When the Jacobian of the general element is totally decomposable, i.e., is isogenous to a product of elliptic curves, we prove that they yield special subvarieties of $\A_g$ if and only if a numerical condition holds, which in the general case is only known to be sufficient. |
| title | Decomposable abelian $G$-curves and special subvarieties |
| topic | Algebraic Geometry 14H10, 14H40, 14G35, 14K05 |
| url | https://arxiv.org/abs/2305.19030 |