Gale duality for complete intersections Frank Sottile Texas A&M University Gale duality for polynomial systems is an elementary reformulation of a system of polynomial equations as a system of equations involving rational master functions in the complement of a hyperplane arrangement. Some properties of the original system are easier to understand in the Gale dual system. In the first part of this talk, I will describe this Gale duality, look at some examples of this construction, and give some elementary consequences. This is joint work with Frederic Bihan.