Locus configurations and -systems

Abstract

We present a new family of the locus configurations which is not related to -systems thus giving the answer to one of the questions raised in V1 about the relation between the generalised quantum Calogero-Moser systems and special solutions of the generalised WDVV equations. As a by-product we have new examples of the hyperbolic equations satisfying the Huygens' principle in the narrow Hadamard's sense. Another result is new multiparameter families of -systems which gives new solutions of the generalised WDVV equation.

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