Maximal Degeneracy Points of GKZ Systems

Details Maximal Degeneracy Points of GKZ Systems Maximal Degeneracy Points of GKZ Systems

1996-03-19

arxiv.org/abs/alg-geom/9603014v2

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, revised version to appear in JAMS

Scientific paper

Motivated by mirror symmetry, we study certain integral representations of solutions to the Gel'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 exists certain special boundary points, which we called maximal degeneracy points, at which all but one solutions become singular.

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