{"paper":{"title":"Connections on parahoric torsors over curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Vikraman Balaji, Yashonidhi Pandey","submitted_at":"2017-02-13T04:17:22Z","abstract_excerpt":"We define parahoric $\\cG$--torsors for certain Bruhat--Tits group scheme $\\cG$ on a smooth complex projective curve $X$ when the weights are real, and also define connections on them. We prove that a $\\cG$--torsor is given by a homomorphism from $\\pi_1(X\\setminus D)$ to a maximal compact subgroup of $G$, where $D\\, \\subset\\, X$ is the parabolic divisor, if and only if the torsor is polystable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03623","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"}