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arXiv:math/0401374 [math.AG]AbstractReferencesReviewsResources

Arc spaces, motivic integration and stringy invariants

Willem Veys

Published 2004-01-27Version 1

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.

Comments: 32 pages
Categories: math.AG
Subjects: 14B05, 14J17, 14E15, 32S45, F99
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