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Calabi--Yau 3-folds from projective joins of del Pezzo manifolds

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arxiv 1902.10040 v1 pith:NAKAWYAT submitted 2019-02-26 math.AG

Daisuke Inoue This is my paper · ORCID
classification math.AG
keywords calabi--yaufoldsmanifoldsconstructderivedellipticequivalentexamples
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds

    hep-th 2025-10 conditional novelty 7.0 of 10

    The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...

  2. Smoothing Calabi-Yau toric hypersurfaces using the Gross-Siebert algorithm

    math.AG 2019-09 conditional novelty 6.0 of 10

    Constructing tropical manifolds from reflexive polytopes yields 14 conditional new Calabi-Yau threefold topological types with b2 = 1.

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