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We clarify the recently proposed method to compute a Special K\"ahler metricon a Calabi-Yau complex structures moduli space that uses the fact that themoduli space is a subspace of specific Frobenius manifold. We apply this methodto computing the Special K\"ahler metric in a two-moduli non-Fermat model whichhas been unknown until now.

Special geometry on the moduli space for the two-moduli non-Fermat Calabi-Yau