{"paper":{"title":"A Torelli type theorem for exp-algebraic curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Indranil Biswas, Kingshook Biswas","submitted_at":"2016-06-21T07:18:59Z","abstract_excerpt":"An exp-algebraic curve consists of a compact Riemann surface $S$ together with $n$ equivalence classes of germs of meromorphic functions modulo germs of holomorphic functions, $\\HH = \\{ [h_1], \\cdots, [h_n] \\}$, with poles of orders $d_1, \\cdots, d_n \\geq 1$ at points $p_1, \\cdots, p_n$. This data determines a space of functions $\\OO_{\\HH}$ (respectively, a space of $1$-forms $\\Omega^0_{\\HH}$) holomorphic on the punctured surface $S' = S - \\{p_1, \\cdots, p_n\\}$ with exponential singularities at the points $p_1, \\cdots, p_n$ of types $[h_1], \\cdots, [h_n]$, i.e., near $p_i$ any $f \\in \\OO_{\\HH}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06449","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"}