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The Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?
We consider a certain pair of families of Picard rank 1 Calabi-Yau threefolds, that have appeared earlier in mathematical literature in unrelated contexts: the family $\mathcal{X}$ of degree 33 threefolds in $G(2,6)$ (constructed by Inoue-Ito-Miura) and the family $\mathcal{Y}$ of arithmetically Gor
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