{ "id": "1710.05151", "version": "v1", "published": "2017-10-14T07:54:17.000Z", "updated": "2017-10-14T07:54:17.000Z", "title": "Notes on toric varieties from Mori theoretic viewpoint, II", "authors": [ "Osamu Fujino", "Hiroshi Sato" ], "comment": "22 pages", "categories": [ "math.AG" ], "abstract": "We give new estimates of lengths of extremal rays of birational type for toric varieties. We can see that our new estimates are the best by constructing some examples explicitly. As applications, we discuss the nefness and pseudo-effectivity of adjoint bundles of projective toric varieties. We also treat some generalizations of Fujita's freeness and very ampleness for toric varieties.", "revisions": [ { "version": "v1", "updated": "2017-10-14T07:54:17.000Z" } ], "analyses": { "subjects": [ "14M25", "14E30" ], "keywords": [ "mori theoretic viewpoint", "extremal rays", "birational type", "adjoint bundles", "projective toric varieties" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }