{ "id": "2202.11563", "version": "v1", "published": "2022-02-23T15:18:30.000Z", "updated": "2022-02-23T15:18:30.000Z", "title": "On generalized nefness and bigness in adjunction theory", "authors": [ "Camilla Felisetti", "Claudio Fontanari" ], "categories": [ "math.AG" ], "abstract": "We investigate effectiveness and ampleness of adjoint divisors of the form $aL+bK_X$, where $L$ is a suitably positive line bundle on a smooth projective variety $X$ and $a,b$ are positive integers.", "revisions": [ { "version": "v1", "updated": "2022-02-23T15:18:30.000Z" } ], "analyses": { "subjects": [ "14N30", "14J40" ], "keywords": [ "adjunction theory", "generalized nefness", "smooth projective variety", "suitably positive line bundle", "adjoint divisors" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }