Maximal degeneracy points of GKZ systems

Hosono, S.; Lian, B.; Yau, S.-T.

doi:10.1090/S0894-0347-97-00230-0

Maximal degeneracy points of GKZ systems
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by S. Hosono, B. H. Lian and S.-T. Yau PDF

J. Amer. Math. Soc. 10 (1997), 427-443

Abstract:

Motivated by mirror symmetry, we study certain integral representations of solutions to the Gel$^\prime$fand-Kapranov-Zelevinsky (GKZ) hypergeometric system. Some of these solutions arise as period integrals for Calabi-Yau manifolds in mirror symmetry. We prove that for a suitable compactification of the parameter space, there exist certain special boundary points, which we called maximal degeneracy points, at which all solutions but one become singular.

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