GKZ Systems, Gröbner Fans and Moduli Spaces of Calabi-Yau Hypersurfaces

Mathematics – Algebraic Geometry

Scientific paper

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28 pages, LaTeX. (The statements in Prop.4.7 and Claim 5.8 are clarified.)

Scientific paper

We present a detailed analysis of the GKZ(Gel'fand, Kapranov and Zelevinski) hypergeometric systems in the context of mirror symmetry of Calabi-Yau hypersurfaces in toric varieties. As an application we will derive a concise formula for the prepotential about large complex structure limits. (Talk given at the Taniguchi Symposium ``Topological Field Theory, Primitive Forms and Related Topics'' December, 1996)

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