Abstract
Let A be an integer matrix, and assume that its semigroup ring C[NA] is normal. Fix a face F of the cone of A. We show that the projection and restriction of an A-hypergeometric system to the coordinate subspace corresponding to F are essentially F-hypergeometric; moreover, at most one of them is nonzero.We also show that, if A is in addition homogeneous, the holonomic dual of an A-hypergeometric system is itself A-hypergeometric. This extends a result from [16], proving a conjecture of Nobuki Takayama in the normal homogeneous case.
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