%0 Journal Article %T FJRW-rings and Mirror Symmetry %A Marc Krawitz %A Nathan Priddis %A Pedro Acosta %A Natalie Bergin %A Himal Rathnakumara %J Mathematics %D 2009 %I arXiv %R 10.1007/s00220-009-0929-7 %X We verify the Landau-Ginzburg Mirror Symmetry Conjecture for Arnol'd's list of unimodal and bimodal quasi-homogeneous singularities with G the maximal diagonal symmetry group, and include a discussion of eight axioms which facilitate the computation of FJRW-rings. %U http://arxiv.org/abs/0903.3220v2