{"paper":{"title":"Shimura varieties in the Torelli locus via Galois coverings of elliptic curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Matteo Penegini, Paola Frediani, Paola Porru","submitted_at":"2015-08-04T11:02:51Z","abstract_excerpt":"We study Shimura subvarieties of $\\mathsf{A}_g$ obtained from families of Galois coverings $f: C \\rightarrow C'$ where $C'$ is a smooth complex projective curve of genus $g' \\geq 1$ and $g= g(C)$. We give the complete list of all such families that satisfy a simple sufficient condition that ensures that the closure of the image of the family via the Torelli map yields a Shimura subvariety of $\\mathsf{A}_g$ for $g' =1,2$ and for all $g \\geq 2,4$ and for $g' > 2$ and $g \\leq 9$. In a previous work of the first and second author together with A. Ghigi [FGP] similar computations were done in the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00730","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}