{"paper":{"title":"The End Curve Theorem for normal complex surface singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Jonathan Wahl, Walter D Neumann","submitted_at":"2008-04-29T16:12:39Z","abstract_excerpt":"We prove the \"End Curve Theorem,\" which states that a normal surface singularity $(X,o)$ with rational homology sphere link $\\Sigma$ is a splice-quotient singularity if and only if it has an end curve function for each leaf of a good resolution tree.\n  An \"end-curve function\" is an analytic function $(X,o)\\to (\\C,0)$ whose zero set intersects $\\Sigma$ in the knot given by a meridian curve of the exceptional curve corresponding to the given leaf.\n  A \"splice-quotient singularity\" $(X,o)$ is described by giving an explicit set of equations describing its universal abelian cover as a complete int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.4644","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"}