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arxiv: 1610.07125 · v1 · pith:EL2FTC5Qnew · submitted 2016-10-23 · 🧮 math.AG · math-ph· math.MP

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

classification 🧮 math.AG math-phmath.MP
keywords conjecturecalabi-yauhypersurfacesperiodscasecertaincharacterizingcomplex
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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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