{"paper":{"title":"Twistor Geometry of Null Foliations in Complex Euclidean Space","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Arman Taghavi-Chabert","submitted_at":"2015-05-26T13:29:33Z","abstract_excerpt":"We give a detailed account of the geometric correspondence between a smooth complex projective quadric hypersurface $\\mathcal{Q}^n$ of dimension $n \\geq 3$, and its twistor space $\\mathbb{PT}$, defined to be the space of all linear subspaces of maximal dimension of $\\mathcal{Q}^n$. Viewing complex Euclidean space $\\mathbb{CE}^n$ as a dense open subset of $\\mathcal{Q}^n$, we show how local foliations tangent to certain integrable holomorphic totally null distributions of maximal rank on $\\mathbb{CE}^n$ can be constructed in terms of complex submanifolds of $\\mathbb{PT}$. The construction is ill"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06938","kind":"arxiv","version":3},"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"}