{ "id": "2412.18317", "version": "v1", "published": "2024-12-24T10:06:10.000Z", "updated": "2024-12-24T10:06:10.000Z", "title": "On K-stability of $\\mathbb P^3$ blown up along a smooth genus $2$ curve of degree $5$", "authors": [ "Tiago Duarte Guerreiro", "Luca Giovenzana", "Nivedita Viswanathan" ], "comment": "15 pp. Comments welcome. arXiv admin note: text overlap with arXiv:2304.11420", "categories": [ "math.AG" ], "abstract": "We prove K-stability for infinitely many smooth members of the family 2.19 of the Mukai-Mori classification.", "revisions": [ { "version": "v1", "updated": "2024-12-24T10:06:10.000Z" } ], "analyses": { "keywords": [ "smooth genus", "k-stability", "smooth members" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }