{"paper":{"title":"Classification of proper holomorphic mappings between certain unbounded non-hyperbolic domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Lei Wang, Zhenhan Tu","submitted_at":"2018-02-12T15:37:19Z","abstract_excerpt":"The Fock-Bargmann-Hartogs domain $D_{n,m}(\\mu)$ ($\\mu>0$) in $\\mathbb{C}^{n+m}$ is defined by the inequality $\\|w\\|^2<e^{-\\mu\\|z\\|^2},$ where $(z,w)\\in \\mathbb{C}^n\\times \\mathbb{C}^m$, which is an unbounded non-hyperbolic domain in $\\mathbb{C}^{n+m}$. Recently, Tu-Wang obtained the rigidity result that proper holomorphic self-mappings of $D_{n,m}(\\mu)$ are automorphisms for $m\\geq 2$, and found a counter-example to show that the rigidity result isn't true for $D_{n,1}(\\mu)$. In this article, we obtain a classification of proper holomorphic mappings between $D_{n,1}(\\mu)$ and $D_{N,1}(\\mu)$ wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04126","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"}