{ "id": "2008.06998", "version": "v1", "published": "2020-08-16T21:13:34.000Z", "updated": "2020-08-16T21:13:34.000Z", "title": "Vector bundles on trees of smooth rational curves", "authors": [ "Geoffrey Smith" ], "comment": "11 pages", "categories": [ "math.AG" ], "abstract": "Given a vector bundle $E$ on a tree of smooth rational curves $C$, we give necessary and sufficient conditions for a vector bundle $E'$ on $\\mathbb{P}^1$ to specialize to $E$ on $C$, generalizing the rank 2 case, due to Coskun.", "revisions": [ { "version": "v1", "updated": "2020-08-16T21:13:34.000Z" } ], "analyses": { "keywords": [ "smooth rational curves", "vector bundle", "sufficient conditions" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }