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The logarithmic Frobenius structures correspond to a special class of solutions of the famous Witten-Dijkgraaf-Verlinde-Verlinde equations. The examples include Coxeter configurations and their restrictions, but the general classification is still an open problem. I will discuss some relations of this problem with the theory of hyperplane arrangements, including holonomy Lie algebras and logarithmic vector fields. The talk is based on recent joint work with M. Feigin.