{"paper":{"title":"Isomonodromic deformations of logarithmic connections and stable parabolic vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Jacques Hurtubise, Viktoria Heu","submitted_at":"2018-07-30T02:36:30Z","abstract_excerpt":"We consider irreducible logarithmic connections $(E,\\,\\delta)$ over compact Riemann surfaces $X$ of genus at least two. The underlying vector bundle $E$ inherits a natural parabolic structure over the singular locus of the connection $\\delta$; the parabolic structure is given by the residues of $\\delta$. We prove that for the universal isomonodromic deformation of the triple $(X,\\,E,\\,\\delta)$, the parabolic vector bundle corresponding to a generic parameter in the Teichm\\\"uller space is parabolically stable. In the case of parabolic vector bundles of rank two, the general parabolic vector bun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11148","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"}