Constructing tropical manifolds from reflexive polytopes yields 14 conditional new Calabi-Yau threefold topological types with b2 = 1.
Calabi--Yau 3-folds from projective joins of del Pezzo manifolds
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abstract
In this paper, we will construct new examples of derived equivalent Calabi--Yau 3-folds with Picard number greater than one. We also study their mirror Calabi--Yau manifolds and find that they are given by Schoen's fiber products of suitable rational elliptic modular surfaces.
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Smoothing Calabi-Yau toric hypersurfaces using the Gross-Siebert algorithm
Constructing tropical manifolds from reflexive polytopes yields 14 conditional new Calabi-Yau threefold topological types with b2 = 1.