{"paper":{"title":"Convex foliations of degree 4 on the complex projective plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DS"],"primary_cat":"math.DG","authors_text":"David Mar\\'in, Samir Bedrouni","submitted_at":"2018-11-16T12:27:10Z","abstract_excerpt":"We show that up to automorphisms of $\\mathbb{P}^2_{\\mathbb C}$ there are $5$ homogeneous convex foliations of degree four on $\\mathbb{P}^2_{\\mathbb C}.$ Using this result, we give a partial answer to a question posed in $2013$ by D. {Mar\\'in} and J. {Pereira} about the classification of reduced convex foliations on~$\\mathbb{P}^2_{\\mathbb C}.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07735","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"}