{ "id": "1202.6664", "version": "v2", "published": "2012-02-29T19:39:49.000Z", "updated": "2013-01-31T14:26:11.000Z", "title": "Seshadri constants via toric degenerations", "authors": [ "Atsushi Ito" ], "comment": "20 pages", "categories": [ "math.AG" ], "abstract": "We give a method to estimate Seshadri constants on toric varieties at any point. By using the estimations and toric degenerations, we can obtain some new computations or estimations of Seshadri constants on non-toric varieties. In particular, we investigate Seshadri constants on hypersurfaces in projective spaces and Fano 3-folds with Picard number one in detail.", "revisions": [ { "version": "v2", "updated": "2013-01-31T14:26:11.000Z" } ], "analyses": { "subjects": [ "14C20", "14M25" ], "keywords": [ "toric degenerations", "estimate seshadri constants", "estimations", "non-toric varieties", "picard number" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.6664I" } } }