{ "id": "1610.06865", "version": "v1", "published": "2016-10-21T17:27:15.000Z", "updated": "2016-10-21T17:27:15.000Z", "title": "Extremal metrics on blowups along submanifolds", "authors": [ "Reza Seyyedali", "Gábor Székelyhidi" ], "categories": [ "math.DG" ], "abstract": "We give conditions under which the blowup of an extremal K\\\"ahler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Arezzo-Pacard-Singer, who considered blowups in points.", "revisions": [ { "version": "v1", "updated": "2016-10-21T17:27:15.000Z" } ], "analyses": { "keywords": [ "extremal metric", "submanifold", "codimension greater", "generalizes work" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }