English

Singularities of log varieties via jet schemes

Algebraic Geometry 2012-02-01 v1

Abstract

We study logarithmic jet schemes of a log scheme and generalize a theorem of M. Mustata from the case of ordinary jet schemes to the logarithmic case. If X is a normal local complete intersection log variety, then X has canonical singularities if and only if the log jet schemes of X are irreducible.

Keywords

Cite

@article{arxiv.1201.6646,
  title  = {Singularities of log varieties via jet schemes},
  author = {Kalle Karu and Andrew Staal},
  journal= {arXiv preprint arXiv:1201.6646},
  year   = {2012}
}

Comments

18 pages