Orbifold Euler characteristics for dual invertible polynomials

Details Orbifold Euler characteristics for dual invertible polynomials Orbifold Euler characteristics for dual invertible polynomials

2011-07-27

arxiv.org/abs/1107.5542v1

Mathematics

Algebraic Geometry

Scientific paper

To construct mirror symmetric Landau-Ginzburg models, P.Berglund, T.H\"ubsch and M.Henningson considered a pair $(f,G)$ consisting of an invertible polynomial $f$ and an abelian group $G$ of its symmetries together with a dual pair $(\widetilde{f}, \widetilde{G})$. Here we study the reduced orbifold Euler characteristics of the Milnor fibres of $f$ and $\widetilde f$ with the actions of the groups $G$ and $\widetilde G$ respectively and show that they coincide up to a sign.

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