{ "id": "2401.06955", "version": "v1", "published": "2024-01-13T02:30:49.000Z", "updated": "2024-01-13T02:30:49.000Z", "title": "Belyi's theorem for smooth complete intersections of general type in generalized Grassmannians and weighted projective spaces", "authors": [ "Mikhail Ovcharenko" ], "comment": "8 pages", "categories": [ "math.AG", "math.NT" ], "abstract": "We show that A. Javanpeykar's proof of Belyi's theorem for smooth complete intersections of general type in ordinary projective spaces can be generalized to smooth complete intersections of general type in generalized Grassmannians and weighted projective spaces. We also propose an explicit approach to the generalization of Belyi's theorem to smooth complete intersections of general type in weighted generalized Grassmannians.", "revisions": [ { "version": "v1", "updated": "2024-01-13T02:30:49.000Z" } ], "analyses": { "subjects": [ "14J20", "14M17" ], "keywords": [ "smooth complete intersections", "general type", "weighted projective spaces", "belyis theorem", "generalized grassmannians" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }