{ "id": "2303.11309", "version": "v1", "published": "2023-03-20T17:47:31.000Z", "updated": "2023-03-20T17:47:31.000Z", "title": "Bubbling of Kähler-Einstein metrics", "authors": [ "Song Sun" ], "comment": "This is an article written for the memorial volume for Professor Jean-Pierre Demailly", "categories": [ "math.DG", "math.AG" ], "abstract": "We prove the finite step termination of bubble trees for singularity formation of polarized K\\\"ahler-Einstein metrics in the non-collapsing situation. We also raise several questions and conjectures in connection with algebraic geometry and Riemannian geometry.", "revisions": [ { "version": "v1", "updated": "2023-03-20T17:47:31.000Z" } ], "analyses": { "keywords": [ "kähler-einstein metrics", "finite step termination", "singularity formation", "algebraic geometry", "riemannian geometry" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }