Generalizing the notions of reflexive polytopes and nef-partitions of Batyrev and Borisov, we propose a mirror symmetry construction for Calabi-Yau complete intersections in Fano toric varieties.
Balanced rational curves and rigid curves of all genera on some Calabi-Yau complete intersections
Period differential equations for the families of $K3$ surfaces with $2$ parameters derived from the reflexive polytopes
Families of Calabi-Yau hypersurfaces in $\mathbb Q$-Fano toric varieties
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