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Tropical Periods for Calabi-Yau Hypersurfaces in non--Fano Toric Varieties

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arxiv 2212.11906 v2 pith:QVEX6PJE submitted 2022-12-22 hep-th math.AG

Per Berglund , Michael Lathwood This is my paper · ORCID
classification hep-thmath.AG
keywords calabi-yauhypersurfacesnon-fanoperiodstoricvarietiesabouzaidambient
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abstract

We consider multi-polytopes to describe non-Fano toric varieties and their associated anticanonical Calabi-Yau hypersurfaces. From the periods of the mirror manifold the $\widehat{\Gamma}$-conjecture is shown to hold for examples of Calabi-Yau hypersurfaces in non-Fano ambient spaces, extending earlier work by Abouzaid et al by employing a generalized Duistermaat-Heckman measure.

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Cited by 1 Pith paper

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  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.

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