{ "id": "2004.04379", "version": "v1", "published": "2020-04-09T06:39:21.000Z", "updated": "2020-04-09T06:39:21.000Z", "title": "Toric 3-folds defined by quadratic binomials", "authors": [ "Shoetsu Ogata" ], "comment": "12 pages, 2 figures", "categories": [ "math.AG", "math.CO" ], "abstract": "Let $(X, A)$ be a polarized nonsingular toric 3-fold with not effective $A+K_X$. Then for any ample line bundle $L$ on $X$ the image of the embedding by the complete linear system of $L$ is an intersections of quadrics.", "revisions": [ { "version": "v1", "updated": "2020-04-09T06:39:21.000Z" } ], "analyses": { "subjects": [ "14M25", "52B20" ], "keywords": [ "quadratic binomials", "ample line bundle", "complete linear system", "polarized nonsingular toric", "intersections" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }