{ "id": "math/0402258", "version": "v1", "published": "2004-02-16T14:09:42.000Z", "updated": "2004-02-16T14:09:42.000Z", "title": "Birational geometry of terminal quartic 3-folds II: the importance of beings Q-factorial", "authors": [ "M. Mella" ], "comment": "16 pages, AMSLaTeX2e, this is the final version of a preprint that circulated in 2002 and benefited much from referee suggestions. To appear in Math. Ann", "categories": [ "math.AG" ], "abstract": "The paper explores the birational geometry of terminal quartic 3-folds. In doing this I develop a new approach to study maximal singularities with positive dimensional centers. This allows to determine the pliability of a Q-factorial quartic with ordinary double points, and it shows the importance of Q-factoriality in the context of birational geometry of uniruled 3-folds", "revisions": [ { "version": "v1", "updated": "2004-02-16T14:09:42.000Z" } ], "analyses": { "subjects": [ "14E07", "14J30", "14E30" ], "keywords": [ "birational geometry", "terminal quartic", "beings q-factorial", "importance", "study maximal singularities" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......2258M" } } }