{"paper":{"title":"On automorphisms of moduli spaces of parabolic vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alex Massarenti, Carolina Araujo, Inder Kaur, Thiago Fassarella","submitted_at":"2019-02-11T20:35:33Z","abstract_excerpt":"Fix $n\\geq 5$ general points $p_1, \\dots, p_n\\in\\mathbb{P}^1$, and a weight vector $\\mathcal{A} = (a_{1}, \\dots, a_{n})$ of real numbers $0 \\leq a_{i} \\leq 1$. Consider the moduli space $\\mathcal{M}_{\\mathcal{A}}$ parametrizing rank two parabolic vector bundles with trivial determinant on $\\big(\\mathbb{P}^1, p_1,\\dots , p_n\\big)$ which are semistable with respect to $\\mathcal{A}$. Under some conditions on the weights, we determine and give a modular interpretation for the automorphism group of the moduli space $\\mathcal{M}_{\\mathcal{A}}$. It is isomorphic to $\\left(\\frac{\\mathbb{Z}}{2\\mathbb{Z"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04136","kind":"arxiv","version":1},"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"}