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May 2021 On the hyperplane conjecture for periods of Calabi–Yau hypersurfaces in $\mathbf{P}^n$
Bong H. Lian, Minxian Zhu
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J. Differential Geom. 118(1): 101-146 (May 2021). DOI: 10.4310/jdg/1620272942

Abstract

In [HLY1], Hosono, Lian, and Yau gave a conjectural characterization of 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. "On the hyperplane conjecture for periods of Calabi–Yau hypersurfaces in $\mathbf{P}^n$." J. Differential Geom. 118 (1) 101 - 146, May 2021. https://doi.org/10.4310/jdg/1620272942

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Received: 16 October 2016; Published: May 2021
First available in Project Euclid: 7 May 2021

Digital Object Identifier: 10.4310/jdg/1620272942

Rights: Copyright © 2021 Lehigh University

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Vol.118 • No. 1 • May 2021
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