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.
Citation
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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