{"paper":{"title":"A note on the boundary behaviour of the squeezing function and Fridman invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Anh Duc Mai, Hyeseon Kim, Thi Lan Huong Nguyen, Van Thu Ninh","submitted_at":"2019-07-10T06:09:43Z","abstract_excerpt":"Let $\\Omega$ be a domain in $\\mathbb C^n$. Suppose that $\\partial\\Omega$ is smooth pseudoconvex of D'Angelo finite type near a boundary point $\\xi_0\\in \\partial\\Omega$ and the Levi form has corank at most $1$ at $\\xi_0$. Our goal is to show that if the squeezing function $s_\\Omega(\\eta_j)$ tends to $1$ or the Fridman invariant $h_\\Omega(\\eta_j)$ tends to $0$ for some sequence $\\{\\eta_j\\}\\subset \\Omega$ converging to $\\xi_0$, then this point must be strongly pseudoconvex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04528","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"}