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arXiv · 1610.07125

On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in $\mathbb P^n$

Bong H. Lian·Minxian Zhu
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Abstract

In [HLY1], Hosono, Lian, and Yau posed a conjecture characterizing the set of solutions to certain Gelfand-Kapranov-Zelevinsky hypergeometric equations which are realized as periods of Calabi-Yau hypersurfaces in a Gorenstein Fano toric variety $X$. We prove this conjecture in the case where $X$ is a complex projective space.

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Bong H. Lian, Minxian Zhu. 2016-10-23. On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in $\mathbb P^n$. https://arxiv.org/abs/1610.07125

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