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Tropical Periods for Calabi-Yau Hypersurfaces in non--Fano Toric Varieties
Published 22 Dec 2022 in hep-th and math.AG | (2212.11906v2)
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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