{"paper":{"title":"The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Fu-Tsun Wei, Mihran Papikian","submitted_at":"2015-12-02T06:13:57Z","abstract_excerpt":"Let $\\frak{n}$ be a square-free ideal of $\\mathbb{F}_q[T]$. We study the rational torsion subgroup of the Jacobian variety $J_0(\\frak{n})$ of the Drinfeld modular curve $X_0(\\frak{n})$. We prove that for any prime number $\\ell$ not dividing $q(q-1)$, the $\\ell$-primary part of this group coincides with that of the cuspidal divisor class group. We further determine the structure of the $\\ell$-primary part of the cuspidal divisor class group for any prime $\\ell$ not dividing $q-1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00586","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"}