Jet schemes of homogeneous hypersurfaces

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 $F$-regular type. This provides us with examples of singular varieties whose $m$-jet schemes have rational singularities for every $m$.

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

References in corpus (1)

• F-singularities of pairs and Inversion of Adjunction of arbitrary codimension

Cited by in corpus (1)

• The dimension of jet schemes of singular varieties