{"paper":{"title":"On the Automorphisms of a Rank One Deligne-Hitchin Moduli Space","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Sebastian Heller","submitted_at":"2017-04-17T10:38:24Z","abstract_excerpt":"Let $X$ be a compact connected Riemann surface of genus $g \\geq 2$, and let ${\\mathcal M}_{\\rm DH}$ be the rank one Deligne-Hitchin moduli space associated to $X$. It is known that ${\\mathcal M}_{\\rm DH}$ is the twistor space for the hyper-K\\\"ahler structure on the moduli space of rank one holomorphic connections on $X$. We investigate the group $\\operatorname{Aut}({\\mathcal M}_{\\rm DH})$ of all holomorphic automorphisms of ${\\mathcal M}_{\\rm DH}$. The connected component of $\\operatorname{Aut}({\\mathcal M}_{\\rm DH})$ containing the identity automorphism is computed. There is a natural element"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04924","kind":"arxiv","version":3},"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"}