{ "id": "0808.1061", "version": "v3", "published": "2008-08-07T16:04:14.000Z", "updated": "2008-09-23T10:26:02.000Z", "title": "Arithmetic of K3 surfaces", "authors": [ "Matthias Schuett" ], "comment": "19 pages; v3: reference [5] added in section 13", "categories": [ "math.AG", "math.NT" ], "abstract": "We review recent developments in the arithmetic of K3 surfaces. Our focus lies on aspects of modularity, Picard number and rational points. Throughout we emphasise connections to geometry.", "revisions": [ { "version": "v3", "updated": "2008-09-23T10:26:02.000Z" } ], "analyses": { "subjects": [ "14J28", "11F11", "11G15", "11G25", "14G05", "14G10" ], "keywords": [ "k3 surfaces", "arithmetic", "focus lies", "picard number", "rational points" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0808.1061S" } } }