Maximal degeneracy points of GKZ systems

Hosono, S.¹ ; Lian, B.² ; Yau, S.-T.³

¹ Department of Mathematics, Toyama University, Toyama 930, Japan
² Department of Mathematics, Brandeis University, Waltham, Massachusetts 02154
³ Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138

Journal of the American Mathematical Society, Tome 10 (1997) no. 2, pp. 427-443

Résumé

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.

Détail

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

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