Jet schemes of homogeneous hypersurfaces

  • Shihoko Ishii

    University of Tokyo, Japan
  • Akiyoshi Sannai

    Nagoya University, Japan
  • Kei-ichi Watanabe

    College of Humanities and Sciences, Tokyo, Japan
Jet schemes of homogeneous hypersurfaces cover
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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.