Arc spaces, motivic integration and stringy invariants
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2004
- DOI:
- 10.48550/arXiv.math/0401374
- arXiv:
- arXiv:math/0401374
- Bibcode:
- 2004math......1374V
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14B05;
- 14J17;
- 14E15: 32S45;
- 14 F99
- E-Print:
- 32 pages