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Locus configurations and $\vee$-systems

O. A. Chalykh·A. P. Veselov
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Abstract

We present a new family of the locus configurations which is not related to $\vee$-systems thus giving the answer to one of the questions raised in \cite{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 $\vee$-systems which gives new solutions of the generalised WDVV equation.

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O. A. Chalykh, A. P. Veselov. 2001-05-02. Locus configurations and $\vee$-systems. https://doi.org/10.1016/s0375-9601(01)00368-1

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