{"paper":{"title":"On the classification of rank two representations of quasiprojective fundamental groups","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Carlos T. Simpson (JAD), Kevin Corlette (1-CHI)","submitted_at":"2007-02-10T17:44:30Z","abstract_excerpt":"Suppose $X$ is a smooth quasiprojective variety over $\\cc$ and $\\rho : \\pi _1(X,x) \\to SL(2,\\cc)$ is a Zariski-dense representation with quasiunipotent monodromy at infinity. Then $\\rho$ factors through a map $X\\to Y$ with $Y$ either a DM-curve or a Shimura modular stack."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0702287","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"}