Orbifold Zeta Functions for Dual Invertible Polynomials

Wolfgang Ebeling, Sabir M. Gusein-Zade
2016 Proceedings of the Edinburgh Mathematical Society  
An invertible polynomial in n variables is a quasi-homogeneous polynomial consisting of n monomials so that the weights of the variables and the quasi-degree are well defined. In the framework of the construction of mirror symmetric orbifold Landau–Ginzburg models, Berglund, Hübsch and 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 . Here we study the reduced orbifold zeta functions of dual pairs
more » ... ns of dual pairs (f, G) and and show that they either coincide or are inverse to each other depending on the number n of variables.
doi:10.1017/s0013091516000043 fatcat:iwhtxzielfdhjjcnen32rmgqzu