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arXiv · 2212.11906

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

Per Berglund·Michael Lathwood
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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 $\widehatΓ$-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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Per Berglund, Michael Lathwood. 2023-10-23. Tropical Periods for Calabi-Yau Hypersurfaces in non--Fano Toric Varieties. https://arxiv.org/abs/2212.11906

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