{"paper":{"title":"Torelli theorem for the Deligne--Hitchin moduli space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Marina Logares, Norbert Hoffmann, Tomas L. Gomez","submitted_at":"2008-12-30T22:13:35Z","abstract_excerpt":"Fix integers $g\\geq 3$ and $r\\geq 2$, with $r\\geq 3$ if $g=3$. Given a compact connected Riemann surface $X$ of genus $g$, let $\\MDH(X)$ denote the corresponding $\\text{SL}(r, {\\mathbb C})$ Deligne--Hitchin moduli space. We prove that the complex analytic space $\\MDH(X)$ determines (up to an isomorphism) the unordered pair $\\{X, \\overline{X}\\}$, where $\\overline{X}$ is the Riemann surface defined by the opposite almost complex structure on $X$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0021","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"}