{ "id": "math/0505535", "version": "v2", "published": "2005-05-25T16:12:08.000Z", "updated": "2007-05-13T17:06:45.000Z", "title": "A finite group acting on the moduli space of K3 surfaces", "authors": [ "Paolo Stellari" ], "comment": "10 pages, major revisions, final version to appear in Trans. Amer. Math. Soc", "categories": [ "math.AG" ], "abstract": "We consider the natural action of a finite group on the moduli space of polarized K3 surfaces which induces a duality defined by Mukai for surfaces of this type. We show that the group permutes polarized Fourier-Mukai partners of polarized K3 surfaces and we study the divisors in the fixed loci of the elements of this finite group.", "revisions": [ { "version": "v2", "updated": "2007-05-13T17:06:45.000Z" } ], "analyses": { "subjects": [ "14J28", "14J10" ], "keywords": [ "moduli space", "finite group acting", "polarized k3 surfaces", "group permutes polarized fourier-mukai partners", "natural action" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......5535S" } } }