{"paper":{"title":"Wermer type sets and extension of CR functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Giuseppe Tomassini, Nikolay Shcherbina, Tobias Harz","submitted_at":"2010-06-05T18:28:39Z","abstract_excerpt":"For each $n\\geq2$ we construct an unbounded closed pseudoconcave complete pluripolar set $\\mathcal E$ in $\\mathbb C^n$ which contains no analytic variety of positive dimension (we call it a \\textit{Wermer type set}). We also construct an unbounded strictly pseudoconvex domain $\\Omega$ in $\\mathbb C^n$ and a smooth $CR$ function $f$ on $\\partial\\Omega$ which has a single-valued holomorphic extension exactly to the set $\\bar\\Omega\\setminus\\mathcal E$.}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1059","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"}