{"paper":{"title":"Parametrization of local biholomorphisms of real analytic hypersurfaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Linda Preiss Rothschild, M. S. Baouendi, P. Ebenfelt","submitted_at":"1997-04-25T15:13:30Z","abstract_excerpt":"Let $M$ be a real analytic hypersurface in $\\bC^N$ which is finitely nondegenerate, a notion that can be viewed as a generalization of Levi nondegenerate, at $p_0\\in M$. We show that if $M'$ is another such hypersurface and $p'_0\\in M'$, then the set of germs at $p_0$ of biholomorphisms $H$ with $H(M)\\subset M'$ and $H(p_0)=p'_0$, equipped with its natural topology, can be naturally embedded as a real analytic submanifold in the complex jet group of $\\bC^N$ of the appropriate order. We also show that this submanifold is defined by equations that can be explicitly computed from defining equatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9701201","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"}