# 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} }

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…

## 6 Citations

Stringy Hodge numbers of threefolds

- Mathematics
- 2006

Batyrev has defined the stringy E-function for complex varieties with at most log terminal singularities. It is a rational function in two variables if the singularities are Gorenstein. Furthermore,…

Stringy Hodge Numbers for a Class of Isolated Singularities and for Threefolds

- Mathematics
- 2006

Batyrev has defined the stringy E-function for complex varieties with at most log terminal singularities. It is a rational function in two variables if the singularities are Gorenstein. Furthermore,…

Stringy invariants of singular algebraic varieties.

- Mathematics
- 2006

We give a positive answer to Question (0.2.5) for projective varieties with certain isolated singularities in arbitrary dimension (the allowed singularities depend on the dimension) and for…

On the Nonnegativity of Stringy Hodge Numbers

- Mathematics
- 2018

We study the nonnegativity of stringy Hodge numbers of a projective variety with Gorenstein canonical singularities, which was conjectured by Batyrev. We prove that the $(p,1)$-stringy Hodge numbers…

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