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On Calabi-Yau generalized complete intersections from Hirzebruch varieties and novel K3-fibrations

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arxiv 1606.07420 v1 pith:3RDEKE4R submitted 2016-06-23 hep-th math.AG

Per Berglund , Tristan Hubsch This is my paper · ORCID
classification hep-thmath.AG
keywords calabi-yaugeneralizedcompletevarietieshirzebruchintersectionk3-fibrationsnovel
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We consider the construction of Calabi-Yau varieties recently generalized to where the defining equations may have negative degrees over some projective space factors in the embedding space. Within such "generalized complete intersection" Calabi-Yau ("gCICY") three-folds, we find several sequences of distinct manifolds. These include both novel elliptic and K3-fibrations and involve Hirzebruch surfaces and their higher dimensional analogues. En route, we generalize the standard techniques of cohomology computation to these generalized complete intersection Calabi-Yau varieties.

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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. Calabi-Yau Threefolds from Vex Triangulations

    hep-th 2025-12 conditional novelty 7.0 of 10

    All fine regular triangulations of 4D reflexive polytopes—including non-FRST vex triangulations—yield smooth, birationally equivalent Calabi-Yau threefold hypersurfaces.

  2. Beyond Algebraic Superstring Compactification

    hep-th 2025-02 conditional novelty 5.0 of 10

    Calabi-Yau compactifications and mirror symmetry are conjecturally extended to non-algebraic toric spaces using Laurent deformations and the 'intrinsic limit' completion.

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