{"paper":{"title":"On non-secant defectivity of Segre-Veronese varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Alex Massarenti, Carolina Araujo, Rick Rischter","submitted_at":"2016-11-05T17:02:28Z","abstract_excerpt":"Let $SV^{\\pmb n}_{\\pmb d}$ be the Segre-Veronese given as the image of the embedding induced by the line bundle $\\mathcal{O}_{\\mathbb{P}^{n_1}\\times\\dots\\times\\mathbb{P}^{n_r}}(d_1,\\dots, d_r)$. We prove that asymptotically $SV^{\\pmb n}_{\\pmb d}$ is not $h$-defective for $h\\leq n_1^{\\lfloor \\log_2(d-1)\\rfloor}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01674","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"}