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

Bong Lian; Minxian  Zhu

doi:10.48550/arXiv.1610.07125

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

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

Bong Lian and Minxian Zhu

ArXiv.org

10/23/2016

DOI: https://doi.org/10.48550/arXiv.1610.07125

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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Title: On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in $\mathbb P^n
Creators: Bong Lian - Brandeis University, Department of Mathematics
Minxian Zhu
Publication Details: ArXiv.org
Identifiers: 9924117675401921
Academic Unit: Department of Mathematics
Language: English
Resource Type: Preprint

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

Abstract

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