{"paper":{"title":"The continuity method on minimal elliptic K\\\"ahler surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Yashan Zhang, Zhenlei Zhang","submitted_at":"2016-10-25T09:50:07Z","abstract_excerpt":"We prove that, on a minimal elliptic K\\\"ahler surface of Kodaira dimension one, the continuity method introduced by La Nave and Tian in \\cite{LT} starting from any initial K\\\"ahler metric converges in Gromov-Hausdorff topology to the metric completion of the generalized K\\\"ahler-Einstein metric on its canonical model constructed by Song and Tian in \\cite{ST06}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07806","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"}