Title: Mirror Symmetry and Toric Geometry

A brief survey of some recent progress towards a mathematical understanding of Mirror Symmetry is given. Using toric geometry, we can express Mirror Symmetry via an elementary duality of special polyhedra.

1991 Mathematics Subject Classification: Primary 14J32, 52B20, 81T60; Secondary 14J45, 33C50, 81T30.

Keywords and Phrases: Toric Varieties, Calabi-Yau Manifolds, Generalized Hypergeometric Functions, Rational Curves.

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