%0 Journal Article %T Strange duality of weighted homogeneous polynomials %A Wolfgang Ebeling %A Atsushi Takahashi %J Mathematics %D 2010 %I arXiv %R 10.1112/S0010437X11005288 %X We consider a mirror symmetry between invertible weighted homogeneous polynomials in three variables. We define Dolgachev and Gabrielov numbers for them and show that we get a duality between these polynomials generalizing Arnold's strange duality between the 14 exceptional unimodal singularities. %U http://arxiv.org/abs/1003.1590v1