Irreducibility of A-hypergeometric systems

Details Irreducibility of A-hypergeometric systems Irreducibility of A-hypergeometric systems

2010-07-27

arxiv.org/abs/1007.4644v2

Mathematics

Algebraic Geometry

Scientific paper

We give an elementary proof of the Gel'fand-Kapranov-Zelevinsky theorem that non-resonant A-hypergeometric systems are irreducible. We also provide a proof of a converse statement In this second version we have removed the condition of saturatedness in Theorems 1.2 and 1.3. In Theorem 1.3 it is replaced by the condition of Cohen-Macaulayness of the toric ideal.

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