{ "id": "1510.03995", "version": "v1", "published": "2015-10-14T08:21:52.000Z", "updated": "2015-10-14T08:21:52.000Z", "title": "A survey on the singularities of spherical varieties", "authors": [ "Boris Pasquier" ], "categories": [ "math.AG" ], "abstract": "We list combinatorial criteria of some singularities, which appear in the Minimal Model Program or in the study of (singular) Fano varieties, for spherical varieties. Most of the results of this paper are already known or are quite easy corollary of known results. We collect these results, we precise some proofs and add few results to get a coherent and complete survey.", "revisions": [ { "version": "v1", "updated": "2015-10-14T08:21:52.000Z" } ], "analyses": { "keywords": [ "spherical varieties", "singularities", "list combinatorial criteria", "minimal model program", "fano varieties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151003995P" } } }