Jet Schemes and Singularities of W d r (C) Loci

  title={Jet Schemes and Singularities of W d r (C) Loci},
  author={Z. Zhu},
  journal={Communications in Algebra},
  pages={3134 - 3159}
  • Z. Zhu
  • Published 2012
  • Mathematics
  • Communications in Algebra
Kempf proved that the theta divisor of a smooth projective curve C has rational singularities. In this paper we estimate the dimensions of the jet schemes of the theta divisor and show that all these schemes are irreducible. In particular, we recover Kempf's theorem in this way. For general projective smooth curves, our method also gives a formula for the log canonical threshold of the pair . 
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