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On Calabi--Yau fractional complete intersections

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arxiv 2008.04039 v2 pith:IKA7HQBE submitted 2020-08-10 math.AG

Tsung-Ju Lee , Bong H. Lian , Shing-Tung Yau This is my paper · ORCID
classification math.AG
keywords calabi--yaumanifoldscompletefractionalintersectionsmirrorsymmetrythen
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In this article, we study mirror symmetry for pairs of singular Calabi--Yau manifolds which are double covers of toric manifolds. Their period integrals can be seen as certain `fractional' analogues of those of ordinary complete intersections. This new structure can then be used to solve their Riemann--Hilbert problems. The latter can then be used to answer definitively questions about mirror symmetry for this class of Calabi--Yau manifolds.

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  1. Non-commutative resolutions and pre-quotients of Calabi-Yau double covers

    hep-th 2025-07 conditional novelty 7.0 of 10

    A-periods of non-commutative resolutions of Calabi-Yau double covers satisfy the same GKZ system as those of an explicitly constructed smooth complete intersection.

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