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Mirror symmetry for double cover Calabi–Yau varieties

Mirror symmetry for double cover Calabi–Yau varieties

The presented paper is a continuation of the series of papers [$\href{https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnz259/30788308/rnz259.pdf}{17}$, $\href{https://dx.doi.org/10.4310/CNTP.2020.v14.n4.a2}{18}$]. In this paper, utilizing Batyrev and Borisov's duality construction on nef‑partitions, we generalize the recipe in [$\href{https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnz259/30788308/rnz259.pdf}{17}$, $\href{https://dx.doi.org/10.4310/CNTP.2020.v14.n4.a2}{18}$] to construct a pair of singular double cover Calabi–Yau varieties $(Y,Y^\vee)$ over toric manifolds and compute their topological Euler …