English

Jet schemes of homogeneous hypersurfaces

Algebraic Geometry 2011-09-27 v1 Commutative Algebra

Abstract

This paper studies the singularities of jet schemes of homogeneous hypersurfaces of general type. We obtain the condition of the degree and the dimension for the singularities of the jet schemes to be of dense FF-regular type. This provides us with examples of singular varieties whose mm-jet schemes have rational singularities for every mm.

Keywords

Cite

@article{arxiv.1109.5321,
  title  = {Jet schemes of homogeneous hypersurfaces},
  author = {Shihoko Ishii and Akiyoshi Sannai and Kei-ichi Watanabe},
  journal= {arXiv preprint arXiv:1109.5321},
  year   = {2011}
}

Comments

11 pages, to appear in the Proceedings of fifth Franco-Japanese Conference of Singularities