{ "id": "math/0510285", "version": "v1", "published": "2005-10-13T19:21:01.000Z", "updated": "2005-10-13T19:21:01.000Z", "title": "Weak analytic hyperbolicity of generic hypersurfaces of high degree in the complex projective space of dimension 4", "authors": [ "Erwan Rousseau" ], "comment": "15 pages", "categories": [ "math.AG", "math.CV" ], "abstract": "The main goal of this work is to prove that every entire curve in a generic hypersurface of degree greater than or equal to 593 in the complex projective space of dimension 4 is algebraically degenerated i.e contained in a proper subvariety.", "revisions": [ { "version": "v1", "updated": "2005-10-13T19:21:01.000Z" } ], "analyses": { "subjects": [ "32Q45" ], "keywords": [ "complex projective space", "weak analytic hyperbolicity", "generic hypersurface", "high degree", "main goal" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....10285R" } } }