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Arc spaces, motivic integration and stringy invariants

代数几何 2016-09-07 v1

摘要

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.

关键词

引用

@article{arxiv.math/0401374,
  title  = {Arc spaces, motivic integration and stringy invariants},
  author = {Willem Veys},
  journal= {arXiv preprint arXiv:math/0401374},
  year   = {2016}
}

备注

32 pages