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Arc spaces, motivic integration and stringy invariants

Willem Veys
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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.

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Willem Veys. 2004-01-27. Arc spaces, motivic integration and stringy invariants. https://arxiv.org/abs/math/0401374

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