{"paper":{"title":"On the embeddability of real hypersurfaces into hyperquadrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ilya Kossovskiy, Ming Xiao","submitted_at":"2015-09-07T09:38:46Z","abstract_excerpt":"In this paper, we provide {\\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any $N >n \\geq 1$, the defining functions $\\varphi(z,\\bar z,u)$ of all real-analytic hypersurfaces $M=\\{v=\\varphi(z,\\bar z,u)\\}\\subset\\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally holomorphically embeddable into some hyperquadric $\\mathcal Q\\subset\\mathbb C^{N+1}$ satisfy an {\\em universal} algebraic partial differential equation $D(\\varphi)=0$, where the algebraic-differential operator $D=D(n,N)$ depends on $n, N$ on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01962","kind":"arxiv","version":2},"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"}