{"paper":{"title":"Tangent bundle of $\\PP^2$ and morphism from $\\PP^2$ to $\\text{Gr}(2, \\CC^{4})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. El Mazouni, D.S. Nagaraj","submitted_at":"2016-05-20T07:41:43Z","abstract_excerpt":"In this note we study the image of $\\PP^2$ in $\\text{Gr}(2, \\CC^{4})$ given by tangent bundle of $\\PP^2. $ We show that there is component $\\mathcal{H}$ of the Hibert scheme of surfaces in $\\text{Gr}(2, \\CC^{4})$ with no point of it corresponds to a smooth surface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06234","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"}