{ "id": "math/0401374", "version": "v1", "published": "2004-01-27T13:26:19.000Z", "updated": "2004-01-27T13:26:19.000Z", "title": "Arc spaces, motivic integration and stringy invariants", "authors": [ "Willem Veys" ], "comment": "32 pages", "categories": [ "math.AG" ], "abstract": "We provide a gentle introduction to arc spaces, motivic integration and stringy invariants. We explain the basic concepts and first results, including the p-adic number theoretic pre-history, and we provide concrete examples. The text is a slightly adapted version of the 'extended abstract' of the author's talks at the 12th MSJ-IRI \"Singularity Theory and Its Applications\" (2003) in Sapporo. At the end we included a list of various recent results.", "revisions": [ { "version": "v1", "updated": "2004-01-27T13:26:19.000Z" } ], "analyses": { "subjects": [ "14B05", "14J17", "14E15", "32S45", "F99" ], "keywords": [ "motivic integration", "stringy invariants", "arc spaces", "p-adic number theoretic pre-history", "singularity theory" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......1374V" } } }