Abstract
A special class of solutions to the generalised WDVV equations related to a finite set of covectors is investigated. Some geometric conditions on such a set which guarantee that the corresponding function satisfies WDVV equations are found (∨-conditions). These conditions are satisfied for all root systems and their special deformations discovered in the theory of the Calogero–Moser systems by Chalykh, Feigin and the author. This leads to the new solutions for the generalized WDVV equations.
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