WDVV Solutions in Dimension 6 over ℚ

We classify rational solutions to the WDVV in dim=6 having in mind certain class of 6-dimensional Frobenius manifolds. The classification is reduced to the 3-dim Frobenius manifolds that are proved to reconstruct all 6-dim ones.

The 3-dim case is classified via the analysis of the solutions to Chazy differential equation with the final conditions written in the language of elliptic curves and modular forms.

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