{"paper":{"title":"On the set of complex points of a 2-sphere","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nikolay Shcherbina","submitted_at":"2007-06-28T13:37:41Z","abstract_excerpt":"Let $G$ be a strictly pseudoconvex domain in $\\mathbb{C}^2$ with $C^\\infty$-smooth boundary $\\partial G$. Let $S$ be a 2-dimensional sphere embedded into $\\partial G$. Denote by $\\mathcal{E}$ the set of all complex points on $S$. We study how the structure of the set $\\mathcal{E}$ depends on the smoothness of $S$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.4230","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"}