Locus configurations and $\vee$-systems

Details Locus configurations and $\vee$-systems Locus configurations and $\vee$-systems

2001-05-02

arxiv.org/abs/math-ph/0105003v1

Physics

Mathematical Physics

12 pages

Scientific paper

10.1016/S0375-9601(01)00368-1

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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