{ "id": "1607.06744", "version": "v1", "published": "2016-07-22T16:50:58.000Z", "updated": "2016-07-22T16:50:58.000Z", "title": "Pull-back components of the space of foliations of codimension $\\ge2$", "authors": [ "W. Costa e Silva", "A. Lins Neto" ], "categories": [ "math.DS", "math.CV" ], "abstract": "We present a new list of irreducible components for the space of k-dimensional holomorphic foliations on $\\mathbb P^{n}$, $n\\geq3$, $k\\ge2$. They are associated to pull-back of dimension one foliations on $\\mathbb P^{n-k+1}$ by non-linear rational maps.", "revisions": [ { "version": "v1", "updated": "2016-07-22T16:50:58.000Z" } ], "analyses": { "keywords": [ "pull-back components", "codimension", "non-linear rational maps", "k-dimensional holomorphic foliations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }