{ "id": "2209.01452", "version": "v1", "published": "2022-09-03T15:54:41.000Z", "updated": "2022-09-03T15:54:41.000Z", "title": "Semiampleness for generalized pairs", "authors": [ "Priyankur Chaudhuri" ], "comment": "Comments welcome", "categories": [ "math.AG" ], "abstract": "We prove that if $(X, B+\\mathbf{M})$ is a generalized klt pair with $K_X+B+\\mathbf{M}_X$ nef and abundant, then $K_X+B+\\mathbf{M}_X$ is semiample.", "revisions": [ { "version": "v1", "updated": "2022-09-03T15:54:41.000Z" } ], "analyses": { "subjects": [ "14E30" ], "keywords": [ "generalized pairs", "semiampleness" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }