2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100146We study a cohomology-valued hypergeometric series which naturally arises in the description of (local) mirror symmetry. We identify it as a central charge formula for BPS states and study its monodromy property from the viewpoint of Kontsevich's homological mirror symmetry. In the case of local mirror symmetry, we will identify a symplectic form, and will conjecture an integral and symplectic monodromy property of a relevant hypergeometric series of Gel'fand-Kapranov-Zelevinski type.35 pages, AMSLatex; v2: typos corrected and minor corrections, v3: construction of cycles in Appendix A completed, v4: typos corrected, To appear in "Mirror Symmetry V", Proceedings of BIRS workshop on Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003High Energy Physics - TheoryAlgebraic Geometrytext