The mirror conjecture for gauge-fixed double-cover families

Let $Y$ and $Y^{\vee}$ be fibers of the gauge-fixed double-cover families associated with dual nef-partitions on toric varieties $X$ and $X^{\vee}$, respectively. Double-cover mirror conjecture. $Y$ and $Y^{\vee}$ are mirror. This is the mirror-symmetry claim for the singular Calabi–Yau double-cover families constructed from dual nef-partitions; the supplied text attributes it to earlier work and gives no resolution status.