Stringy E-functions of varieties with A-D-E singularities

@article{Schepers2005StringyEO,
  title={Stringy E-functions of varieties with A-D-E singularities},
  author={Jan Schepers},
  journal={manuscripta mathematica},
  year={2005},
  volume={119},
  pages={129-157}
}
  • J. Schepers
  • Published 14 November 2005
  • Mathematics
  • manuscripta mathematica
The stringy E-function for normal irreducible complex varieties with at worst log terminal singularities was introduced by Batyrev. It is defined by data from a log resolution. If the variety is projective and Gorenstein and the stringy E-function is a polynomial, Batyrev also defined the stringy Hodge numbers as a generalization of the Hodge numbers of nonsingular projective varieties, and conjectured that they are nonnegative. We compute explicit formulae for the contribution of an A-D-E… 
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